Information on Result #693923
Linear OA(2595, 664, F25, 41) (dual of [664, 569, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,14]) based on
- linear OA(2581, 626, F25, 41) (dual of [626, 545, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2557, 626, F25, 29) (dual of [626, 569, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2514, 38, F25, 11) (dual of [38, 24, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2514, 52, F25, 11) (dual of [52, 38, 12]-code), using
- extended algebraic-geometric code AGe(F,40P) [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(2514, 52, F25, 11) (dual of [52, 38, 12]-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.