Information on Result #1810303
Digital (9, 19, 894)-net over F49, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4919, 894, F49, 2, 10) (dual of [(894, 2), 1769, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4919, 1201, F49, 2, 10) (dual of [(1201, 2), 2383, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4919, 2402, F49, 10) (dual of [2402, 2383, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4919, 2403, F49, 10) (dual of [2403, 2384, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4917, 2401, F49, 9) (dual of [2401, 2384, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(4919, 2403, F49, 10) (dual of [2403, 2384, 11]-code), using
- OOA 2-folding [i] based on linear OA(4919, 2402, F49, 10) (dual of [2402, 2383, 11]-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.