Information on Result #3274454
(72, 98, 20166)-net in base 32, using 1 times m-reduction based on (72, 99, 20166)-net in base 32, using
- net defined by OOA [i] based on OOA(3299, 20166, S32, 27, 27), using
- OOA 13-folding and stacking with additional row [i] based on OA(3299, 262159, S32, 27), using
- discarding factors based on OA(3299, 262160, S32, 27), using
- discarding parts of the base [i] based on linear OA(6482, 262160, F64, 27) (dual of [262160, 262078, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(6479, 262145, F64, 27) (dual of [262145, 262066, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- discarding parts of the base [i] based on linear OA(6482, 262160, F64, 27) (dual of [262160, 262078, 28]-code), using
- discarding factors based on OA(3299, 262160, S32, 27), using
- OOA 13-folding and stacking with additional row [i] based on OA(3299, 262159, S32, 27), 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.