Information on Result #1666067
Linear OOA(2172, 1725738, F2, 6, 14) (dual of [(1725738, 6), 10354256, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2172, 1725738, F2, 4, 14) (dual of [(1725738, 4), 6902780, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2172, 2097156, F2, 4, 14) (dual of [(2097156, 4), 8388452, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2172, 4194312, F2, 2, 14) (dual of [(4194312, 2), 8388452, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(211, 11, F2, 2, 7) (dual of [(11, 2), 11, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 11)-net over F2, using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- linear OOA(211, 11, F2, 2, 7) (dual of [(11, 2), 11, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding [i] based on linear OOA(2172, 4194312, F2, 2, 14) (dual of [(4194312, 2), 8388452, 15]-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.