Information on Result #1841009
(76, 93, 1048703)-net in base 32, using net defined by OOA based on OOA(3293, 1048703, S32, 18, 17), using
- OOA 4-folding and stacking with additional row [i] based on OOA(3293, 4194813, S32, 2, 17), using
- discarding factors based on OOA(3293, 4194814, S32, 2, 17), using
- (u, u+v)-construction [i] based on
- linear OOA(3215, 513, F32, 2, 8) (dual of [(513, 2), 1011, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3215, 1026, F32, 8) (dual of [1026, 1011, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(3213, 1024, F32, 7) (dual of [1024, 1011, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(3215, 1026, F32, 8) (dual of [1026, 1011, 9]-code), 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
- linear OOA(3215, 513, F32, 2, 8) (dual of [(513, 2), 1011, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors based on OOA(3293, 4194814, 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.