Information on Result #2522320
Linear OOA(12857, 4194451, F128, 2, 13) (dual of [(4194451, 2), 8388845, 14]-NRT-code), using 1281 times duplication based on linear OOA(12856, 4194451, F128, 2, 13) (dual of [(4194451, 2), 8388846, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, 150, F128, 2, 6) (dual of [(150, 2), 293, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,293P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12849, 4194301, F128, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-code), using
- linear OOA(1287, 150, F128, 2, 6) (dual of [(150, 2), 293, 7]-NRT-code), using
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.