Information on Result #2921040
Linear OOA(2225, 2446674, F2, 6, 14) (dual of [(2446674, 6), 14679819, 15]-NRT-code), using 22 times duplication based on linear OOA(2223, 2446674, F2, 6, 14) (dual of [(2446674, 6), 14679821, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(262, 1048574, F2, 6, 7) (dual of [(1048574, 6), 6291382, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(262, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145663, 8]-NRT-code), using
- linear OOA(2161, 1398100, F2, 6, 14) (dual of [(1398100, 6), 8388439, 15]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 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 6-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- linear OOA(262, 1048574, F2, 6, 7) (dual of [(1048574, 6), 6291382, 8]-NRT-code), using
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.