Information on Result #904985
Linear OOA(12855, 1048877, F128, 2, 15) (dual of [(1048877, 2), 2097699, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 300, F128, 2, 7) (dual of [(300, 2), 588, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- linear OOA(1288, 150, F128, 2, 7) (dual of [(150, 2), 292, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,292P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- (u, u+v)-construction [i] based on
- linear OOA(12843, 1048577, F128, 2, 15) (dual of [(1048577, 2), 2097111, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12843, 2097154, F128, 15) (dual of [2097154, 2097111, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12843, 2097155, F128, 15) (dual of [2097155, 2097112, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(12843, 2097155, F128, 15) (dual of [2097155, 2097112, 16]-code), using
- OOA 2-folding [i] based on linear OA(12843, 2097154, F128, 15) (dual of [2097154, 2097111, 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.