Information on Result #1722540
Digital (103, 117, 2517037)-net over F5, using net defined by OOA based on linear OOA(5117, 2517037, F5, 21, 14) (dual of [(2517037, 21), 52857660, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5117, 7551112, F5, 3, 14) (dual of [(7551112, 3), 22653219, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5117, 7551114, F5, 3, 14) (dual of [(7551114, 3), 22653225, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5117, 7551114, F5, 14) (dual of [7551114, 7550997, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(5117, large, F5, 14) (dual of [large, large−117, 15]-code), using
- 6 times code embedding in larger space [i] based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 6 times code embedding in larger space [i] based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(5117, large, F5, 14) (dual of [large, large−117, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5117, 7551114, F5, 14) (dual of [7551114, 7550997, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(5117, 7551114, F5, 3, 14) (dual of [(7551114, 3), 22653225, 15]-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.