Information on Result #1717566
Digital (68, 79, 114140)-net over F4, using net defined by OOA based on linear OOA(479, 114140, F4, 15, 11) (dual of [(114140, 15), 1712021, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(479, 228281, F4, 3, 11) (dual of [(228281, 3), 684764, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(479, 228282, F4, 3, 11) (dual of [(228282, 3), 684767, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(479, 228282, F4, 11) (dual of [228282, 228203, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(479, 262157, F4, 11) (dual of [262157, 262078, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- linear OA(473, 262145, F4, 11) (dual of [262145, 262072, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(479, 262157, F4, 11) (dual of [262157, 262078, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(479, 228282, F4, 11) (dual of [228282, 228203, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(479, 228282, F4, 3, 11) (dual of [(228282, 3), 684767, 12]-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.