Information on Result #1719416
Digital (153, 178, 33764)-net over F4, using net defined by OOA based on linear OOA(4178, 33764, F4, 27, 25) (dual of [(33764, 27), 911450, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4178, 135057, F4, 3, 25) (dual of [(135057, 3), 404993, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4178, 135058, F4, 3, 25) (dual of [(135058, 3), 404996, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4178, 135058, F4, 25) (dual of [135058, 134880, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4178, 262163, F4, 25) (dual of [262163, 261985, 26]-code), using
- (u, u+v)-construction [i] based on
- linear OA(415, 18, F4, 12) (dual of [18, 3, 13]-code), using
- 3 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 3 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- 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(415, 18, F4, 12) (dual of [18, 3, 13]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4178, 262163, F4, 25) (dual of [262163, 261985, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4178, 135058, F4, 25) (dual of [135058, 134880, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(4178, 135058, F4, 3, 25) (dual of [(135058, 3), 404996, 26]-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.