Information on Result #1730050
Digital (138, 171, 26494)-net over F8, using net defined by OOA based on linear OOA(8171, 26494, F8, 39, 33) (dual of [(26494, 39), 1033095, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(8171, 158965, F8, 3, 33) (dual of [(158965, 3), 476724, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8171, 158969, F8, 3, 33) (dual of [(158969, 3), 476736, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8171, 158969, F8, 33) (dual of [158969, 158798, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8171, 262153, F8, 33) (dual of [262153, 261982, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(8169, 262144, F8, 33) (dual of [262144, 261975, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(8171, 262153, F8, 33) (dual of [262153, 261982, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8171, 158969, F8, 33) (dual of [158969, 158798, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(8171, 158969, F8, 3, 33) (dual of [(158969, 3), 476736, 34]-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.