Information on Result #564623
There is no linear OOA(25103, 164, F25, 2, 99) (dual of [(164, 2), 225, 100]-NRT-code), because 9 step m-reduction would yield linear OA(2594, 164, F25, 90) (dual of [164, 70, 91]-code), but
- construction Y1 [i] would yield
- OA(2593, 97, S25, 90), but
- the linear programming bound shows that M ≥ 917 366046 106511 319204 310488 250559 166131 581647 062117 601772 786429 813888 045207 279411 397468 873458 869997 872255 908077 931962 907314 300537 109375 / 81263 > 2593 [i]
- linear OA(2570, 164, F25, 67) (dual of [164, 94, 68]-code), but
- discarding factors / shortening the dual code would yield linear OA(2570, 148, F25, 67) (dual of [148, 78, 68]-code), but
- construction Y1 [i] would yield
- OA(2569, 73, S25, 67), but
- the linear programming bound shows that M ≥ 24178 564222 846123 668546 399721 917528 895562 151649 914153 732205 158997 548011 257094 913162 291049 957275 390625 / 7242 > 2569 [i]
- linear OA(2578, 148, F25, 75) (dual of [148, 70, 76]-code), but
- discarding factors / shortening the dual code would yield linear OA(2578, 103, F25, 75) (dual of [103, 25, 76]-code), but
- residual code [i] would yield OA(253, 27, S25, 3), but
- discarding factors / shortening the dual code would yield linear OA(2578, 103, F25, 75) (dual of [103, 25, 76]-code), but
- OA(2569, 73, S25, 67), but
- construction Y1 [i] would yield
- discarding factors / shortening the dual code would yield linear OA(2570, 148, F25, 67) (dual of [148, 78, 68]-code), but
- OA(2593, 97, S25, 90), 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.