contained in the original NPL report defining the MAA [@Davies-Clayden-88] and in the 1992 version of the MAA standard [@ISO-8731-2:1992], we believe that there are mistakes[^4] in the test vectors given for function .

More precisely, the three last lines of Table 3 [@Davies-Clayden-88 page 15] — identically reproduced in Table A.3 of [@ISO-8731-2:1992 Sect. A.4] — are written as follows:

        {X0,Y0}     0103 0703 1D3B 7760     PAT{X0,Y0} EE
        {V0,W}      0103 050B 1706 5DBB     PAT{V0,W}  BB
        {S,T}       0103 0705 8039 7302     PAT{S,T}   E6

Actually, the inputs of function should not be `{X0,Y0}`, `{V0,W}`, `{S,T}` but rather `{H4,H5}`, `{H6,H7}`, `{H8,H9}`, the values of , ..., being those listed above in Table 3. Notice that the confusion was probably caused by the following algebraic identities:

        {X0,Y0} = BYT (H4, H5)
        {V0,W}  = BYT (H6, H7)
        {S,T}   = BYT (H8, H9)

If one gives `{X0,Y0}`, `{V0,W}`, `{S,T}` as inputs to , then the three results of are equal to and thus cannot be equal to , , , respectively.

But if one gives `{H4,H5}`, `{H6,H7}`, `{H8,H9}` as inputs to , then the results of are the expected values , , .

Thus, we believe that the three last lines of Table 3 should be 