Information on Result #1748912
Digital (32, 60, 6714)-net over F256, using net defined by OOA based on linear OOA(25660, 6714, F256, 35, 28) (dual of [(6714, 35), 234930, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25660, 20143, F256, 5, 28) (dual of [(20143, 5), 100655, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25660, 20144, F256, 5, 28) (dual of [(20144, 5), 100660, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25660, 20144, F256, 3, 28) (dual of [(20144, 3), 60372, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25660, 21851, F256, 3, 28) (dual of [(21851, 3), 65493, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25660, 65553, F256, 28) (dual of [65553, 65493, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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 Ce(27) ⊂ Ce(21) [i] based on
- OOA 3-folding [i] based on linear OA(25660, 65553, F256, 28) (dual of [65553, 65493, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(25660, 21851, F256, 3, 28) (dual of [(21851, 3), 65493, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25660, 20144, F256, 3, 28) (dual of [(20144, 3), 60372, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25660, 20144, F256, 5, 28) (dual of [(20144, 5), 100660, 29]-NRT-code), using
Mode: Linear.
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.