Information on Result #1719720
Digital (156, 183, 22684)-net over F4, using net defined by OOA based on linear OOA(4183, 22684, F4, 33, 27) (dual of [(22684, 33), 748389, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4183, 113421, F4, 3, 27) (dual of [(113421, 3), 340080, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4183, 113424, F4, 3, 27) (dual of [(113424, 3), 340089, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4183, 113424, F4, 2, 27) (dual of [(113424, 2), 226665, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4183, 131082, F4, 2, 27) (dual of [(131082, 2), 261981, 28]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4182, 131082, F4, 2, 27) (dual of [(131082, 2), 261982, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4182, 262164, F4, 27) (dual of [262164, 261982, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(4181, 262145, F4, 27) (dual of [262145, 261964, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 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([0,13]) ⊂ C([0,12]) [i] based on
- OOA 2-folding [i] based on linear OA(4182, 262164, F4, 27) (dual of [262164, 261982, 28]-code), using
- 41 times duplication [i] based on linear OOA(4182, 131082, F4, 2, 27) (dual of [(131082, 2), 261982, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4183, 131082, F4, 2, 27) (dual of [(131082, 2), 261981, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4183, 113424, F4, 2, 27) (dual of [(113424, 2), 226665, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4183, 113424, F4, 3, 27) (dual of [(113424, 3), 340089, 28]-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.