Information on Result #900830
Linear OOA(2768, 9907, F27, 2, 19) (dual of [(9907, 2), 19746, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2713, 64, F27, 2, 9) (dual of [(64, 2), 115, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,118P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OOA(2755, 9843, F27, 2, 19) (dual of [(9843, 2), 19631, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2755, 19686, F27, 19) (dual of [19686, 19631, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(2755, 19686, F27, 19) (dual of [19686, 19631, 20]-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.