this description of the exemplary embodiments is intended to be read in connection with the accompanying drawings , which are to be considered part of the entire written description . in the description , relative terms such as “ lower ,” “ upper ,” “ horizontal ,” “ vertical ,”, “ above ,” “ below ,” “ up ,” “ down ,” “ top ” and “ bottom ” as well as derivative thereof ( e . g ., “ horizontally ,” “ vertically ,” “ downwardly ,” “ upwardly ,” etc .) should be construed to refer to the orientation as then described or as shown in the drawing under discussion . these relative terms are for convenience of description and do not require that the apparatus be constructed or operated in a particular orientation . word line decoder 200 in fig2 is laid out in a traditional configuration that is simplified for compilable memory . a grid layout formed by decode lines and input lines is straightforward , but word line decoder 200 may have high intrinsic resistance and capacitance . the configuration of word line decoder results in relatively high coupling capacitances and resistances . such a layout , in which each of the decode lines extends all the way to a distal end of decoder 200 corresponding to the top of fig2 ( i . e ., all the way to input lines of word line wl [ 31 ]) entails a relatively large area for decoder buses . fig3 is a circuit diagram of a word line decoder 300 . word line decoder 200 has 32 word lines wl [ 0 ], . . . wl [ 31 ] ( generally wl ) in the example of fig3 , although other numbers of word lines may be used as well . if decode lines dea [ 0 ], dea [ 1 ], deb [ 0 ], deb [ 1 ] are used as in fig3 , a minimum of four word lines are used , because those decode lines provide two bits of information to select 2 2 ( i . e ., 4 ) word lines . driver circuits 310 - 0 , 310 - 1 , . . . , 310 - 31 ( generally 310 ) provide the word lines wl , and the driver circuits 310 are arranged in clusters 320 - 0 , . . . , 320 - 7 ( generally 320 ). in the example of fig3 , each cluster 320 has four driver circuits 310 , resulting in eight clusters ; however , different numbers of clusters may be used . each driver circuit 310 , which may be a logical and gate , has three input lines . two of the input lines , denoted sa 0 and sb 0 in the case of driver circuit 310 - 0 , are referred to as secondary input lines . the secondary input lines are coupled to decode lines dea [ 0 ], dea [ 1 ], deb [ 0 ], and deb [ 1 ], which are referred to as auxiliary decode lines . within a cluster , e . g ., cluster 320 - 0 , the auxiliary decode lines in conjunction with the secondary decode lines determine a particular driver circuit 310 . for example , for cluster 320 - 0 , the auxiliary decode lines dea [ 0 ], dea [ 1 ], deb [ 0 ], deb [ 1 ] provide two bits of information that select one of the four driver circuits 310 - 0 , 310 - 1 , 310 - 2 , 310 - 3 . the third input line to each driver circuit 310 is known as a primary input line . the primary input lines to driver circuits 310 - 0 , . . . , 310 - 31 are denoted p 0 , . . . , p 31 in fig3 . the primary and secondary input lines are oriented in a first direction , which may be termed horizontal in the example of fig3 . for a given cluster , all of the primary input lines to driver circuits 310 within the cluster are coupled together via a local decode line , which is oriented in a second direction perpendicular to the first direction . the second direction may be termed vertical in the example of fig3 . it should be understood that the terms “ horizontal ” and “ vertical ” are relative to one another . the local decode lines are denoted with reference characters having suffixes corresponding to the clusters 320 . for example , the local decode line connecting the primary input lines of cluster 320 - 7 is denoted vlocdec 7 , where the prefix ‘ v ’ indicates vertical for convenience . each local decode line is coupled to a decode line that intersects the local decode line perpendicularly ; the latter decode line may be termed a horizontal decode line for convenience and denoted with a prefix ‘ h ’. for example , horizontal decode line hdec 7 is coupled to local decode line vlocdec 7 . it should be understood that the term “ horizontal ” is relative and indicates that the horizontal decode line is oriented in the same direction as the input lines to the driver circuits 310 . each horizontal decode line is coupled to a cluster decode line , which is oriented in the same direction as the local decode lines ( i . e ., perpendicular to the horizontal decode line ). the cluster decode lines dec [ 0 ], . . . , dec [ 7 ] are so named because each cluster decode line selects a corresponding cluster . for example , cluster decode line dec [ 0 ] selects cluster 320 - 0 , because cluster decode line dec [ 0 ] is coupled via local decode line vlocdec 0 to each of the driver circuits 310 - 0 , 310 - 1 , 310 - 2 , 310 - 3 in cluster 320 - 0 via primary input lines p 0 , p 1 , p 2 , p 3 , respectively . there are several differences between the specific example of a word line decoder 300 shown in fig3 and traditional word line decoder 200 , although various embodiments may have different subsets of the features shown in fig3 . less circuitry is present in word line decoder 300 ( than in decoder 200 ), because each cluster decode line only extends far enough to connect to its corresponding cluster , i . e ., up to an interconnection with its corresponding horizontal decode line . for example , cluster decode line dec [ 0 ] extends from a proximal end of word line decoder 300 only up to the horizontal decode line associated with cluster 320 - 0 or an insubstantial distance past that horizontal decode line , i . e ., up to or insubstantially past horizontal decode line hdec 0 , rather than all the way to a distal end of word line decoder 300 , where the terms “ distal and “ proximal ” correspond to ends of word line decoder 300 at which clusters 320 - 0 ( a first cluster ) and 320 - 7 ( a last cluster ), respectively , are disposed . traditional word line decoder 200 does not have a single horizontal decode line coupled to all of the driver circuits in the corresponding cluster , in contrast to word line decoder 300 . with a single horizontal decode line for each cluster , word line decoder 300 reduces circuitry in the horizontal direction ( where the term “ horizontal ” is relative , as discussed above ) relative to word line decoder 200 . for example , for cluster 320 - 7 , word line decoder 300 has four primary input lines having a length that may be denoted x and one horizontal decode line having a length that may be denoted y , for a total length of 4x + y . in contrast , to service driver circuits 310 - 28 , 310 - 29 , 310 - 30 , and 310 - 31 , traditional word line decoder requires four input lines each having a length ( x + y ), for a total length of 4x + 4y . local decode lines , e . g ., vlocdec 0 , may be placed close to devices , providing an additional advantage over the prior art . the cluster decode lines dec [ 0 ], dec [ 7 ] are arranged in a particular order in fig3 ; this order may be understood with reference to fig4 a . fig4 a - c are circuit diagrams of layouts of cluster decode lines in word line decoders in accordance with various embodiments , and fig4 a shows an example layout that minimizes coupling capacitance and resistance . in fig4 a , the cluster decode lines are arranged as dec [ 0 ], dec [ 7 ], dec [ 1 ], dec [ 6 ], dec [ 2 ], dec [ 5 ], dec [ 3 ], dec [ 4 ] in order from left to right , i . e ., from farthest to nearest the driver circuits ( e . g ., and gates ). for convenience , this arrangement may be denoted 0 - 7 - 1 - 6 - 2 - 5 - 3 - 4 . thus , the shortest cluster decode line dec [ 0 ] ( i . e ., the cluster decode line corresponding to the cluster at the proximal end of the word line decoder ) is adjacent to the longest cluster decode line dec [ 7 ], thus minimizing overlap between the two , which minimizes coupling capacitance by reducing metal loading . additionally , by reducing the length of cluster decode line dec [ 0 ] relative to the prior art , resistance ( which is directly related to length of a line ) is minimized as well . the 0 - 7 - 1 - 6 - 2 - 5 - 3 - 4 arrangement of cluster decode lines as in fig4 a minimizes coupling capacitance in a way that may be expressed in the following mathematical formulation : the arrangement maximizes a sum , across the cluster decode lines , of magnitudes of length differences between adjacent cluster decode lines . in other words , the sum | l ( 0 )− l ( 7 )|+| l ( 7 )− l ( 1 )|+| l ( 1 )− l ( 6 )|+( l ( 6 )− l ( 2 )|+| l ( 2 )+ l ( 5 )|+| l ( 5 )− l ( 3 )|+| l ( 3 )− l ( 4 )| is a maximum of all possible sums across the cluster decode lines of magnitudes ( absolute values ) of length differences between adjacent cluster decode lines , where l ( i ) denotes the length of dec [ i ]. put yet another way , the cluster decode lines are arranged to minimize the sum of the overlaps between the adjacent cluster decode lines in each pair . other arrangements that satisfy the sum - maximization property above are 4 - 3 - 5 - 2 - 6 - 1 - 7 - 0 ( the reverse of the above arrangement ), 7 - 0 - 6 - 1 - 5 - 2 - 4 - 3 , and 3 - 4 - 2 - 5 - 1 - 6 - 0 - 7 , for example . one of ordinary skill in the art recognizes that the same criteria for arrangement of cluster decode lines may be extended to any given number of clusters , and to any given number of driver circuits per cluster . although 32 word lines are shown in fig3 and 4 a - c , other numbers of word lines may be used , as mentioned above . for example , 128 or 512 word lines may be used . for example , in the case of 128 word lines , cluster decode lines dec [ 0 ], . . . , dec [ 7 ] providing three bits of information may select between eight ( i . e ., 2 3 ) clusters , each having sixteen driver circuits , which may be selected via appropriate auxiliary decode lines . similarly , for 512 word lines , eight cluster decode lines may select between eight clusters having 64 driver circuits each . more benefit is achieved ( relative to the prior art ) with larger numbers of word lines . the provision of auxiliary decode lines and cluster decode lines , and the relative provision of auxiliary decode lines between different input lines to driver circuits , may be adjusted in the context of a particular implementation , as one of ordinary skill in the art should understand . other arrangements may arrange the cluster decode lines by decreasing or increasing length , as in fig4 b and 4c . these arrangements may be expressed in the following mathematical formulation : these arrangements minimize ( rather than maximize as above ) a sum , across the cluster decode lines , of magnitudes of length differences between adjacent cluster decode lines . any other arrangement of cluster decode lines is possible as well , i . e ., any of the p ! arrangements may be used in a case of p cluster decode lines . fig5 is a block diagram of a memory system . a memory system 500 has a word line decoder 510 , an sram cell array 520 , an input / output ( i / o ) array 530 , and a control logic 540 . fig5 may also be considered to provide a top view of sram blocks . word line decoder 510 may be the word line decoder 300 of fig3 or a similar word line decoder with different numbers of decode lines and / or word lines . word line decoder 500 is shown in fig5 to have n word lines that address n bitcells in sram cell array 520 . i / o array 530 may be a conventional input / output array , known in the art , for writing data ( denoted d in fig5 ) to or reading data ( denoted q in fig5 ) from sram cell array 520 , or a future developed i / o array having these functions . control logic 540 receives an address ( shown as comprising m bits in fig5 ), a clock signal , and a chip enable signal ceb to control accessing of and read / writes to / from the sram cell array 520 . control logic 540 translates address a [ m - 1 : 0 ] into decode signals provided on decode lines dea and deb ( auxiliary decode lines as described above ) and dec ( cluster decode lines as described above ). the word line decoder is referred to as a word line driver array in fig5 . fig6 is a block diagram of a strap cell configuration of a memory system . an sram strap cell is a standard cell used to fill in an sram cell array to drop bias voltages to a p - well and to an n - well , as is known to one of ordinary skill in the art . the p - well ( p - type substrate ) and n - well bias are the bulk ( sometimes referred to as body ) of an nmos and pmos device , respectively . an sram strap cell may be placed every fixed number of sram cells ( bitcells ), i . e ., every k bitcells . in fig6 , a word line strap cell 632 is disposed between adjacent 64 × 1 word line driver arrays ( word line decoders ) 610 a , 610 b , which are adjacent to sram cell arrays 620 a , 620 b having 64 rows and col columns . an sram strap cell array having one row and col columns is disposed between sram cell arrays 620 a and 620 b . the maximum allowed number of rows in an sram cell array is limited by a maximum distance from a well bias to a farthest sram cell , which is typically about 30 μm according to design specifications for a 65 nm cmos fabrication process . a horizontal decode line as in fig3 ( e . g ., hdec 0 ) may be implemented in strap cell 632 or in sram strap cell array 634 . alternatively , the horizontal decode line may be implemented in local control logic as described below in the context of fig7 . fig7 is a block diagram of an array of memory banks . memory banks 710 - 0 , 710 - 1 are structures similar to memory system 500 of fig5 . memory bank 1 has sram cell arrays 720 , a word line driver array 710 , a local control logic 742 , a local input / output ( lio ) array 732 , an i / o array 730 and main control 740 . main control 740 provides decode signals dec [ 0 ], dec [ 1 ], dec [ 2 ], and dec [ 3 ] as in fig3 ; other decode signals are not shown in fig7 . local control 742 controls the lio array 732 for reading and writing like a local read circuit or a local write data buffer . the local read circuit may include a differential amplifier for sensing the voltage difference between signals bl and bl_inv as in fig1 . horizontal decode lines may pass through local control 742 at any location where there is sufficient metal space for a metal , pitch . various embodiments have been tested and have exhibited decreased coupling capacitance , decreased resistance , decreased power consumption , and better timing performance ( faster accesses ) relative to prior art word line decoders . table 1 shows decreased coupling capacitance in an embodiment with 128 word lines . although examples are illustrated and described herein , embodiments are nevertheless not limited to the details shown , since various modifications and structural changes may be made therein by those of ordinary skill within the scope and range of equivalents of the claims .