Information on Result #902056
Linear OOA(3294, 4211711, F32, 2, 15) (dual of [(4211711, 2), 8423328, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3223, 17410, F32, 2, 7) (dual of [(17410, 2), 34797, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(324, 1025, F32, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code), using
- linear OOA(3219, 16385, F32, 2, 7) (dual of [(16385, 2), 32751, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3219, 32770, F32, 7) (dual of [32770, 32751, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(3219, 32768, F32, 7) (dual of [32768, 32749, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code), using
- OOA 2-folding [i] based on linear OA(3219, 32770, F32, 7) (dual of [32770, 32751, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3271, 4194301, F32, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3271, 8388602, F32, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(3271, 8388602, F32, 15) (dual of [8388602, 8388531, 16]-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.