Information on Result #1832056
OOA(3272, 4194817, S32, 2, 13), using (u, u+v)-construction based on
- linear OOA(3213, 516, F32, 2, 6) (dual of [(516, 2), 1019, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3213, 1032, F32, 6) (dual of [1032, 1019, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(325, 1024, F32, 3) (dual of [1024, 1019, 4]-code or 1024-cap in PG(4,32)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- OOA 2-folding [i] based on linear OA(3213, 1032, F32, 6) (dual of [1032, 1019, 7]-code), using
- OOA(3259, 4194301, S32, 2, 13), using
- OOA 2-folding [i] based on OA(3259, 8388602, S32, 13), using
- discarding factors based on OA(3259, large, S32, 13), using
- discarding parts of the base [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- discarding factors based on OA(3259, large, S32, 13), using
- OOA 2-folding [i] based on OA(3259, 8388602, S32, 13), using
Mode: Constructive.
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.