Information on Result #1682309
Linear OOA(2156, 2152219, F2, 7, 12) (dual of [(2152219, 7), 15065377, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2156, 2152219, F2, 3, 12) (dual of [(2152219, 3), 6456501, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2156, 2796265, F2, 3, 12) (dual of [(2796265, 3), 8388639, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(218, 64, F2, 3, 6) (dual of [(64, 3), 174, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 18, 64)-net over F2, using
- linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- linear OOA(218, 64, F2, 3, 6) (dual of [(64, 3), 174, 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.