Information on Result #1070340
Linear OOA(12865, 2097225, F128, 4, 15) (dual of [(2097225, 4), 8388835, 16]-NRT-code), using OOA 2-folding based on linear OOA(12865, 4194450, F128, 2, 15) (dual of [(4194450, 2), 8388835, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12865, 4194451, F128, 2, 15) (dual of [(4194451, 2), 8388837, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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
- linear OOA(12857, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12857, 8388602, F128, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(12857, 8388602, F128, 15) (dual of [8388602, 8388545, 16]-code), using
- linear OOA(1288, 150, F128, 2, 7) (dual of [(150, 2), 292, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.