Information on Result #1841019
(88, 105, 1081343)-net in base 32, using net defined by OOA based on OOA(32105, 1081343, S32, 18, 17), using
- OOA 4-folding and stacking with additional row [i] based on OOA(32105, 4325373, S32, 2, 17), using
- discarding factors based on OOA(32105, 4325374, S32, 2, 17), using
- (u, u+v)-construction [i] based on
- OOA(3227, 131073, S32, 2, 8), using
- OOA 2-folding [i] based on OA(3227, 262146, S32, 8), using
- discarding factors based on OA(3227, 262147, S32, 8), using
- discarding parts of the base [i] based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- discarding parts of the base [i] based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- discarding factors based on OA(3227, 262147, S32, 8), using
- OOA 2-folding [i] based on OA(3227, 262146, S32, 8), using
- OOA(3278, 4194301, S32, 2, 17), using
- OOA 2-folding [i] based on OA(3278, 8388602, S32, 17), using
- discarding factors based on OA(3278, large, S32, 17), using
- discarding parts of the base [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- discarding factors based on OA(3278, large, S32, 17), using
- OOA 2-folding [i] based on OA(3278, 8388602, S32, 17), using
- OOA(3227, 131073, S32, 2, 8), using
- (u, u+v)-construction [i] based on
- discarding factors based on OOA(32105, 4325374, S32, 2, 17), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.