Information on Result #696062
Linear OA(2777, 769, F27, 33) (dual of [769, 692, 34]-code), using construction X applied to Ce(32) ⊂ Ce(18) based on
- linear OA(2762, 729, F27, 33) (dual of [729, 667, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2737, 729, F27, 19) (dual of [729, 692, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2715, 40, F27, 13) (dual of [40, 25, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 48, F27, 13) (dual of [48, 33, 14]-code), using
- extended algebraic-geometric code AGe(F,34P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2715, 48, F27, 13) (dual of [48, 33, 14]-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.