Information on Result #1810811
Digital (34, 52, 57605)-net over F49, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4952, 57605, F49, 2, 18) (dual of [(57605, 2), 115158, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4952, 58826, F49, 2, 18) (dual of [(58826, 2), 117600, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4952, 117652, F49, 18) (dual of [117652, 117600, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(4952, 117649, F49, 18) (dual of [117649, 117597, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4949, 117649, F49, 17) (dual of [117649, 117600, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(4952, 117652, F49, 18) (dual of [117652, 117600, 19]-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.