Information on Result #1722348
Digital (59, 72, 19923)-net over F5, using net defined by OOA based on linear OOA(572, 19923, F5, 15, 13) (dual of [(19923, 15), 298773, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(572, 39847, F5, 3, 13) (dual of [(39847, 3), 119469, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(572, 39848, F5, 3, 13) (dual of [(39848, 3), 119472, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(572, 39848, F5, 13) (dual of [39848, 39776, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(572, 78141, F5, 13) (dual of [78141, 78069, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(571, 78126, F5, 13) (dual of [78126, 78055, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(51, 15, F5, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(572, 78141, F5, 13) (dual of [78141, 78069, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(572, 39848, F5, 13) (dual of [39848, 39776, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(572, 39848, F5, 3, 13) (dual of [(39848, 3), 119472, 14]-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.