Information on Result #1723476
Digital (92, 113, 9642)-net over F5, using net defined by OOA based on linear OOA(5113, 9642, F5, 27, 21) (dual of [(9642, 27), 260221, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5113, 38569, F5, 3, 21) (dual of [(38569, 3), 115594, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5113, 38570, F5, 3, 21) (dual of [(38570, 3), 115597, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5113, 38570, F5, 2, 21) (dual of [(38570, 2), 77027, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5113, 39063, F5, 2, 21) (dual of [(39063, 2), 78013, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(5113, 39063, F5, 2, 21) (dual of [(39063, 2), 78013, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5113, 38570, F5, 2, 21) (dual of [(38570, 2), 77027, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5113, 38570, F5, 3, 21) (dual of [(38570, 3), 115597, 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.