Information on Result #1832005
OOA(3261, 4325374, S32, 2, 10), using (u, u+v)-construction based on
- OOA(3216, 131073, S32, 2, 5), using
- OOA 2-folding [i] based on OA(3216, 262146, S32, 5), using
- discarding factors based on OA(3216, 262147, S32, 5), using
- discarding parts of the base [i] 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 parts of the base [i] based on linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code), using
- discarding factors based on OA(3216, 262147, S32, 5), using
- OOA 2-folding [i] based on OA(3216, 262146, S32, 5), using
- OOA(3245, 4194301, S32, 2, 10), using
- OOA 2-folding [i] based on OA(3245, 8388602, S32, 10), using
- discarding factors based on OA(3245, large, S32, 10), using
- discarding parts of the base [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding parts of the base [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- discarding factors based on OA(3245, large, S32, 10), using
- OOA 2-folding [i] based on OA(3245, 8388602, S32, 10), 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.