Information on Result #1832994
OOA(3265, 4325374, S32, 2, 11), using discarding parts of the base based on linear OOA(6454, 4325374, F64, 2, 11) (dual of [(4325374, 2), 8650694, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6413, 131073, F64, 2, 5) (dual of [(131073, 2), 262133, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6413, 262146, F64, 5) (dual of [262146, 262133, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code), using
- OOA 2-folding [i] based on linear OA(6413, 262146, F64, 5) (dual of [262146, 262133, 6]-code), using
- linear OOA(6441, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
- linear OOA(6413, 131073, F64, 2, 5) (dual of [(131073, 2), 262133, 6]-NRT-code), 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.