Information on Result #1674366
Linear OOA(2173, 2099196, F2, 7, 13) (dual of [(2099196, 7), 14694199, 14]-NRT-code), using OOA stacking with additional row based on linear OOA(2173, 2099197, F2, 6, 13) (dual of [(2099197, 6), 12595009, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2173, 2099197, F2, 4, 13) (dual of [(2099197, 4), 8396615, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(234, 2047, F2, 4, 6) (dual of [(2047, 4), 8154, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- 1 times m-reduction [i] based on digital (28, 35, 2047)-net over F2, using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- linear OOA(2139, 2097150, F2, 4, 13) (dual of [(2097150, 4), 8388461, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 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 4-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- linear OOA(234, 2047, F2, 4, 6) (dual of [(2047, 4), 8154, 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
None.