Information on Result #1674397
Linear OOA(2210, 8267980, F2, 7, 13) (dual of [(8267980, 7), 57875650, 14]-NRT-code), using OOA stacking with additional row based on linear OOA(2210, 8267981, F2, 6, 13) (dual of [(8267981, 6), 49607676, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2210, 8267981, F2, 2, 13) (dual of [(8267981, 2), 16535752, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2210, large, F2, 2, 13), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(2206, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776998, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(267, 4194303, F2, 2, 6) (dual of [(4194303, 2), 8388539, 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
- 2 times NRT-code embedding in larger space [i] based on linear OOA(2206, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776998, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2210, large, F2, 2, 13), 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.