Information on Result #1673949
Linear OOA(2102, 2378093, F2, 7, 9) (dual of [(2378093, 7), 16646549, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(2102, 2378094, F2, 4, 9) (dual of [(2378094, 4), 9512274, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2102, 2378094, F2, 3, 9) (dual of [(2378094, 3), 7134180, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2102, 2796224, F2, 3, 9) (dual of [(2796224, 3), 8388570, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(29, 23, F2, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 9, 23)-net over F2, using
- linear OOA(293, 2796201, F2, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- linear OOA(29, 23, F2, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2102, 2796224, F2, 3, 9) (dual of [(2796224, 3), 8388570, 10]-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.