Information on Result #693929
Linear OA(25109, 670, F25, 47) (dual of [670, 561, 48]-code), using construction X applied to C([0,23]) ⊂ C([0,16]) based on
- linear OA(2593, 626, F25, 47) (dual of [626, 533, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
- linear OA(2565, 626, F25, 33) (dual of [626, 561, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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.