Information on Result #1192738
Digital (81, 108, 631)-net over F8, using net defined by OOA based on linear OOA(8108, 631, F8, 27, 27) (dual of [(631, 27), 16929, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(8108, 8204, F8, 27) (dual of [8204, 8096, 28]-code), using
- trace code [i] based on linear OA(6454, 4102, F64, 27) (dual of [4102, 4048, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(6453, 4097, F64, 27) (dual of [4097, 4044, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(6449, 4097, F64, 25) (dual of [4097, 4048, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- trace code [i] based on linear OA(6454, 4102, F64, 27) (dual of [4102, 4048, 28]-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.