Information on Result #694430
Linear OA(25108, 663, F25, 49) (dual of [663, 555, 50]-code), using construction X applied to Ce(48) ⊂ Ce(36) based on
- linear OA(2594, 625, F25, 49) (dual of [625, 531, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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.