Information on Result #1746228
Digital (47, 70, 88575)-net over F81, using net defined by OOA based on linear OOA(8170, 88575, F81, 28, 23) (dual of [(88575, 28), 2480030, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8170, 265726, F81, 4, 23) (dual of [(265726, 4), 1062834, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8170, 265728, F81, 4, 23) (dual of [(265728, 4), 1062842, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8170, 265728, F81, 2, 23) (dual of [(265728, 2), 531386, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8170, 531456, F81, 23) (dual of [531456, 531386, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8170, 531457, F81, 23) (dual of [531457, 531387, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- linear OA(8167, 531442, F81, 23) (dual of [531442, 531375, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(813, 15, F81, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,81) or 15-cap in PG(2,81)), using
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- Reed–Solomon code RS(78,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8170, 531457, F81, 23) (dual of [531457, 531387, 24]-code), using
- OOA 2-folding [i] based on linear OA(8170, 531456, F81, 23) (dual of [531456, 531386, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8170, 265728, F81, 2, 23) (dual of [(265728, 2), 531386, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8170, 265728, F81, 4, 23) (dual of [(265728, 4), 1062842, 24]-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.