Information on Result #1717108
Digital (12, 17, 982)-net over F4, using net defined by OOA based on linear OOA(417, 982, F4, 6, 5) (dual of [(982, 6), 5875, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(417, 983, F4, 2, 5) (dual of [(983, 2), 1949, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(417, 983, F4, 5) (dual of [983, 966, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(417, 1030, F4, 5) (dual of [1030, 1013, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(2) [i] based on
- linear OA(416, 1024, F4, 5) (dual of [1024, 1008, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(411, 1024, F4, 3) (dual of [1024, 1013, 4]-code or 1024-cap in PG(10,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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 Ce(4) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(417, 1030, F4, 5) (dual of [1030, 1013, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(417, 983, F4, 5) (dual of [983, 966, 6]-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.