Information on Result #1804120
Digital (26, 55, 298)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2555, 298, F25, 2, 29) (dual of [(298, 2), 541, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2555, 315, F25, 2, 29) (dual of [(315, 2), 575, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2555, 630, F25, 29) (dual of [630, 575, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(2554, 625, F25, 29) (dual of [625, 571, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- OOA 2-folding [i] based on linear OA(2555, 630, F25, 29) (dual of [630, 575, 30]-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.