Information on Result #1723526
Digital (121, 142, 76237)-net over F5, using net defined by OOA based on linear OOA(5142, 76237, F5, 27, 21) (dual of [(76237, 27), 2058257, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5142, 304949, F5, 3, 21) (dual of [(304949, 3), 914705, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5142, 304951, F5, 3, 21) (dual of [(304951, 3), 914711, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5142, 304951, F5, 21) (dual of [304951, 304809, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5142, 390643, F5, 21) (dual of [390643, 390501, 22]-code), using
- (u, u+v)-construction [i] based on
- linear OA(513, 17, F5, 10) (dual of [17, 4, 11]-code), using
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(5142, 390643, F5, 21) (dual of [390643, 390501, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5142, 304951, F5, 21) (dual of [304951, 304809, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(5142, 304951, F5, 3, 21) (dual of [(304951, 3), 914711, 22]-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.