Information on Result #1666370
Linear OOA(2177, 2739446, F2, 6, 13) (dual of [(2739446, 6), 16436499, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2177, 2739446, F2, 3, 13) (dual of [(2739446, 3), 8218161, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2177, 2800296, F2, 3, 13) (dual of [(2800296, 3), 8400711, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(238, 4095, F2, 3, 6) (dual of [(4095, 3), 12247, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(238, 4095, F2, 3, 7) (dual of [(4095, 3), 12247, 8]-NRT-code), using
- linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- linear OOA(238, 4095, F2, 3, 6) (dual of [(4095, 3), 12247, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2177, 2739445, F2, 7, 13) (dual of [(2739445, 7), 19175938, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2177, 2739445, F2, 8, 13) (dual of [(2739445, 8), 21915383, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2177, 2739445, F2, 18, 13) (dual of [(2739445, 18), 49309833, 14]-NRT-code) | [i] | ||