Information on Result #1783074
Digital (202, 237, 112470)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4237, 112470, F4, 2, 35) (dual of [(112470, 2), 224703, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4237, 131082, F4, 2, 35) (dual of [(131082, 2), 261927, 36]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4236, 131082, F4, 2, 35) (dual of [(131082, 2), 261928, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4236, 262164, F4, 35) (dual of [262164, 261928, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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([0,17]) ⊂ C([0,16]) [i] based on
- OOA 2-folding [i] based on linear OA(4236, 262164, F4, 35) (dual of [262164, 261928, 36]-code), using
- 41 times duplication [i] based on linear OOA(4236, 131082, F4, 2, 35) (dual of [(131082, 2), 261928, 36]-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.