distance (BKLC) for a linear $[25,4]_9$-code.

Finally, as an application of Theorem \[GMaruta:QT\] and Program \[Prog3\], Table \[arco:generalizadoinferior1\] gives an example of how to construct some known linear codes with BKLC distance as SQT codes for small values of $q$.

    $[n,k,d]_q$   Generator Matrix                                                                                     $N$   $\alpha$   $\theta$
  --------------- --------------------------------------------------------------------------------------------------- ----- ---------- ----------
   $[21,6,12]_4$  $[131313]^7+220211^{14}$                                                                             $7$     $2$         2
   $[25,4,17]_4$  $[1313]^5+3331^{10}+2310^{10}$                                                                        5      $2$         2
   $[35,6,22]_4$  $[131313]^7+123210^{14}+113110^{14}$                                                                  7       2          2
   $[35,4,24]_4$  $[1212]^5+0321^{10}+1031^{10}+1301^{10}$                                                              5       3          2
   $[40,4,28]_4$  $[1313]^5+0321^{10}+3301^{10}+1301^{10}+1010^5$                                                       5       2          2
   $[45,4,32]_4$  $[1212]^5+2100^{10}+1311^{10}+0101^{10}+3321^{10}$                                                    5       2          2
   $[49,6,32]_4$  $[131313]^7+233101^{14}+312221^{14}+231310^{14}$                                                      7       2          2
   $[50,4,36]_4$  $[1212]^5+1231^{10}+1101^{10}+2231^{10}+3321^{10}+3100^5$                                             5       3          2
   $[55,4,36]_4$  $[1313]^5+2011^{10}+1131^{10}+2221^{10}+1331^{10}+0310^5$                                             5       2          2
   $[60,4,44]_4$  $[1313]^5+1110^{10}+0231^{10}+0031^{10}+3111^{10}  +3311^{10}+2021^5$                                 5       2          2
   $[65,4,48]_4$  $[1212]^5+2201^{10}+1011^{10}+2131^{10} +1310^{10}+0211^{10}+3100^5+3031^{5}$                         5       3          2
   $[85,4,64]_4$  $[1212]^5+3211^{10}+0011^{10}+3301^{10}+ 1301^{10}+1331^{10}+3121^{10}+1331^{10}+1010^{5}+0210^5$     5       3          2
   $[34,3,28]_8$  $[175]^4+721^{12}+610^{12}+111^6$                                                                     4       2          4
   $[50,4,41]_8$  $[6156]^5+5331^{15}+5610^{15}+6321^{15}$                                                              5       2          4
   $[65,5,56]_8$  $[6156]^5+5541^{15}+7310^{15}+3110^{15}+1531^{15}$                                                    5       1          2
   $[25,4,19]_9$  $[4518]^{5}+1681^{10}+4741^{10}$                                                                      5       6          3
   $[30,4,24]_9$  $[4518]^{5}+4801^{10}+8771^{10}+5810^{5}$                                                             5       6          3
   $[42,4,34]_9$  $[2030]^{6}+8121^{12}+6821^{12}+0531^{12}$                                                            6       7          3

  : Skew Quasi-Twisted Codes with BKLC distance.[]{data-label="arco:generalizadoinferior1"}

A lower bound for the distance {#Sec3}
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In [@L] the author shows how a factorization of a skew polynomial can be made in a suitable commutative polynomial ring. By this method, we can transfer some properties of constacyclic codes to skew constacyclic codes and vice versa. In particular, 