Information on Result #1674252
Linear OOA(2182, 4210683, F2, 7, 12) (dual of [(4210683, 7), 29474599, 13]-NRT-code), using OOA stacking with additional row based on linear OOA(2182, 4210684, F2, 6, 12) (dual of [(4210684, 6), 25263922, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2182, 4210684, F2, 2, 12) (dual of [(4210684, 2), 8421186, 13]-NRT-code), using
- strength reduction [i] based on linear OOA(2182, 4210684, F2, 2, 13) (dual of [(4210684, 2), 8421186, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(243, 16383, F2, 2, 6) (dual of [(16383, 2), 32723, 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
- strength reduction [i] based on linear OOA(2182, 4210684, F2, 2, 13) (dual of [(4210684, 2), 8421186, 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.