Information on Result #1717508
Digital (39, 50, 1307)-net over F4, using net defined by OOA based on linear OOA(450, 1307, F4, 15, 11) (dual of [(1307, 15), 19555, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(450, 2615, F4, 3, 11) (dual of [(2615, 3), 7795, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(450, 2615, F4, 11) (dual of [2615, 2565, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(450, 4110, F4, 11) (dual of [4110, 4060, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(449, 4097, F4, 11) (dual of [4097, 4048, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(437, 4097, F4, 9) (dual of [4097, 4060, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(450, 4110, F4, 11) (dual of [4110, 4060, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(450, 2615, F4, 11) (dual of [2615, 2565, 12]-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.