Information on Result #3267206
Digital (16, 29, 1095)-net over F81, using 811 times duplication based on digital (15, 28, 1095)-net over F81, using
- net defined by OOA [i] based on linear OOA(8128, 1095, F81, 13, 13) (dual of [(1095, 13), 14207, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(8128, 6571, F81, 13) (dual of [6571, 6543, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8128, 6573, F81, 13) (dual of [6573, 6545, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(8125, 6562, F81, 13) (dual of [6562, 6537, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(8117, 6562, F81, 9) (dual of [6562, 6545, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(813, 11, F81, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,81) or 11-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([0,6]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8128, 6573, F81, 13) (dual of [6573, 6545, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(8128, 6571, F81, 13) (dual of [6571, 6543, 14]-code), using
Mode: Constructive and 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.