Information on Result #547849
There is no linear OA(4107, 235, F4, 75) (dual of [235, 128, 76]-code), because construction Y1 would yield
- OA(4106, 143, S4, 75), but
- the linear programming bound shows that M ≥ 189 312298 968815 860250 485793 283965 413843 284713 743252 821000 560707 597443 674955 116200 018233 524224 / 27631 043169 340831 430975 152245 > 4106 [i]
- linear OA(4128, 235, F4, 92) (dual of [235, 107, 93]-code), but
- discarding factors / shortening the dual code would yield linear OA(4128, 231, F4, 92) (dual of [231, 103, 93]-code), but
- residual code [i] would yield OA(436, 138, S4, 23), but
- the linear programming bound shows that M ≥ 2 459341 558534 243094 488043 771471 593472 000000 / 500 972289 383505 307147 > 436 [i]
- residual code [i] would yield OA(436, 138, S4, 23), but
- discarding factors / shortening the dual code would yield linear OA(4128, 231, F4, 92) (dual of [231, 103, 93]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.