Information on Result #1746718
Digital (39, 72, 908)-net over F81, using net defined by OOA based on linear OOA(8172, 908, F81, 36, 33) (dual of [(908, 36), 32616, 34]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8172, 3633, F81, 4, 33) (dual of [(3633, 4), 14460, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8172, 3633, F81, 33) (dual of [3633, 3561, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, 6585, F81, 33) (dual of [6585, 6513, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- linear OA(8165, 6562, F81, 33) (dual of [6562, 6497, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), using
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- Reed–Solomon code RS(74,81) [i]
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8172, 6585, F81, 33) (dual of [6585, 6513, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8172, 3633, F81, 33) (dual of [3633, 3561, 34]-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.