Information on Result #900650
Linear OOA(2755, 9919, F27, 2, 15) (dual of [(9919, 2), 19783, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2712, 76, F27, 2, 7) (dual of [(76, 2), 140, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(274, 730, F27, 2, 3) (dual of [(730, 2), 1456, 4]-NRT-code), using
- linear OOA(278, 38, F27, 2, 7) (dual of [(38, 2), 68, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,68P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- (u, u+v)-construction [i] based on
- linear OOA(2743, 9843, F27, 2, 15) (dual of [(9843, 2), 19643, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2743, 19686, F27, 15) (dual of [19686, 19643, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(2743, 19686, F27, 15) (dual of [19686, 19643, 16]-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.