Information on Result #694459
Linear OA(25101, 666, F25, 45) (dual of [666, 565, 46]-code), using construction X applied to Ce(44) ⊂ Ce(31) based on
- linear OA(2586, 625, F25, 45) (dual of [625, 539, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2560, 625, F25, 32) (dual of [625, 565, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2515, 41, F25, 12) (dual of [41, 26, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2515, 52, F25, 12) (dual of [52, 37, 13]-code), using
- extended algebraic-geometric code AGe(F,39P) [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(2515, 52, F25, 12) (dual of [52, 37, 13]-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.