Information on Result #1690882
Linear OOA(2203, 5089533, F2, 8, 13) (dual of [(5089533, 8), 40716061, 14]-NRT-code), using OOA stacking with additional row based on linear OOA(2203, 5089534, F2, 6, 13) (dual of [(5089534, 6), 30537001, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2203, 5089534, F2, 2, 13) (dual of [(5089534, 2), 10178865, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2203, 6291452, F2, 2, 13) (dual of [(6291452, 2), 12582701, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(264, 2097151, F2, 2, 6) (dual of [(2097151, 2), 4194238, 7]-NRT-code), using
- linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, 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(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2203, 6291452, F2, 2, 13) (dual of [(6291452, 2), 12582701, 14]-NRT-code), using
Mode: 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.