Information on Result #1812999
Digital (36, 71, 2189)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8171, 2189, F81, 3, 35) (dual of [(2189, 3), 6496, 36]-NRT-code), using
- 811 times duplication [i] based on linear OOA(8170, 2189, F81, 3, 35) (dual of [(2189, 3), 6497, 36]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8170, 6567, F81, 35) (dual of [6567, 6497, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(8169, 6562, F81, 35) (dual of [6562, 6493, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- 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(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- OOA 3-folding [i] based on linear OA(8170, 6567, F81, 35) (dual of [6567, 6497, 36]-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.