Information on Result #692858
Linear OA(16129, 277, F16, 72) (dual of [277, 148, 73]-code), using construction X applied to Ce(71) ⊂ Ce(61) based on
- linear OA(16119, 256, F16, 72) (dual of [256, 137, 73]-code), using an extension Ce(71) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,71], and designed minimum distance d ≥ |I|+1 = 72 [i]
- linear OA(16108, 256, F16, 62) (dual of [256, 148, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(1610, 21, F16, 9) (dual of [21, 11, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-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.