Information on Result #694499
Linear OA(25105, 672, F25, 46) (dual of [672, 567, 47]-code), using construction X applied to Ce(45) ⊂ Ce(30) based on
- linear OA(2588, 625, F25, 46) (dual of [625, 537, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2558, 625, F25, 31) (dual of [625, 567, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2517, 47, F25, 14) (dual of [47, 30, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2517, 52, F25, 14) (dual of [52, 35, 15]-code), using
- extended algebraic-geometric code AGe(F,37P) [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(2517, 52, F25, 14) (dual of [52, 35, 15]-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.