Information on Result #547948
There is no linear OA(5112, 253, F5, 85) (dual of [253, 141, 86]-code), because construction Y1 would yield
- OA(5111, 143, S5, 85), but
- the linear programming bound shows that M ≥ 220 445839 236062 243251 966630 886846 194373 438661 017264 989094 781670 909972 692840 028685 168363 153934 478759 765625 / 378 761134 914432 479453 277033 > 5111 [i]
- linear OA(5141, 253, F5, 110) (dual of [253, 112, 111]-code), but
- discarding factors / shortening the dual code would yield linear OA(5141, 229, F5, 110) (dual of [229, 88, 111]-code), but
- residual code [i] would yield OA(531, 118, S5, 22), but
- the linear programming bound shows that M ≥ 2 310642 313094 154045 260009 765625 000000 000000 / 481 569852 057372 130117 > 531 [i]
- residual code [i] would yield OA(531, 118, S5, 22), but
- discarding factors / shortening the dual code would yield linear OA(5141, 229, F5, 110) (dual of [229, 88, 111]-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.
Other Results with Identical Parameters
None.
Depending Results
None.