Information on Result #694465
Linear OA(2589, 665, F25, 39) (dual of [665, 576, 40]-code), using construction X applied to Ce(38) ⊂ Ce(25) based on
- linear OA(2574, 625, F25, 39) (dual of [625, 551, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2515, 40, F25, 12) (dual of [40, 25, 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.