Information on Result #693930
Linear OA(25105, 670, F25, 45) (dual of [670, 565, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,15]) based on
- linear OA(2589, 626, F25, 45) (dual of [626, 537, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(2561, 626, F25, 31) (dual of [626, 565, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(2516, 44, F25, 13) (dual of [44, 28, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, 52, F25, 13) (dual of [52, 36, 14]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2516, 52, F25, 13) (dual of [52, 36, 14]-code), using
Mode: Constructive and 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.