Information on Result #3280650
(47, 78, 4370)-net in base 128, using 1282 times duplication based on (45, 76, 4370)-net in base 128, using
- net defined by OOA [i] based on OOA(12876, 4370, S128, 31, 31), using
- OOA 15-folding and stacking with additional row [i] based on OA(12876, 65551, S128, 31), using
- discarding factors based on OA(12876, 65554, S128, 31), using
- discarding parts of the base [i] based on linear OA(25666, 65554, F256, 31) (dual of [65554, 65488, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(25661, 65537, F256, 31) (dual of [65537, 65476, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- discarding parts of the base [i] based on linear OA(25666, 65554, F256, 31) (dual of [65554, 65488, 32]-code), using
- discarding factors based on OA(12876, 65554, S128, 31), using
- OOA 15-folding and stacking with additional row [i] based on OA(12876, 65551, S128, 31), 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.