Information on Result #1699556
Linear OOA(2158, 2559437, F2, 8, 12) (dual of [(2559437, 8), 20475338, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2158, 2559437, F2, 3, 12) (dual of [(2559437, 3), 7678153, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2158, 2796280, F2, 3, 12) (dual of [(2796280, 3), 8388682, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(220, 79, F2, 3, 6) (dual of [(79, 3), 217, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 20, 79)-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(220, 79, F2, 3, 6) (dual of [(79, 3), 217, 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.