Information on Result #1288013
Linear OA(263, 164, F2, 16) (dual of [164, 101, 17]-code), using construction Y1 based on
- linear OA(264, 256, F2, 16) (dual of [256, 192, 17]-code), using
- 1 times truncation [i] based on linear OA(265, 257, F2, 17) (dual of [257, 192, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(265, 257, F2, 17) (dual of [257, 192, 18]-code), using
- nonexistence of linear OA(2192, 256, F2, 92) (dual of [256, 64, 93]-code), because
- discarding factors / shortening the dual code would yield linear OA(2192, 229, F2, 92) (dual of [229, 37, 93]-code), but
- residual code [i] would yield OA(2100, 136, S2, 46), but
- the linear programming bound shows that M ≥ 278926 311515 404597 614260 291573 349814 894592 / 210394 352259 > 2100 [i]
- residual code [i] would yield OA(2100, 136, S2, 46), but
- discarding factors / shortening the dual code would yield linear OA(2192, 229, F2, 92) (dual of [229, 37, 93]-code), but
Mode: 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.