Information on Result #1051422
Linear OOA(2154, 2097171, F2, 4, 12) (dual of [(2097171, 4), 8388530, 13]-NRT-code), using OOA 2-folding based on linear OOA(2154, 4194342, F2, 2, 12) (dual of [(4194342, 2), 8388530, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2154, 4194343, F2, 2, 12) (dual of [(4194343, 2), 8388532, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(216, 42, F2, 2, 6) (dual of [(42, 2), 68, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 16, 42)-net over F2, using
- linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- linear OOA(216, 42, F2, 2, 6) (dual of [(42, 2), 68, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and 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.