Information on Result #1742984
Digital (14, 23, 2842)-net over F49, using net defined by OOA based on linear OOA(4923, 2842, F49, 10, 9) (dual of [(2842, 10), 28397, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4923, 5685, F49, 2, 9) (dual of [(5685, 2), 11347, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4923, 5685, F49, 9) (dual of [5685, 5662, 10]-code), using
- 3276 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 32 times 0, 1, 216 times 0, 1, 926 times 0, 1, 2093 times 0) [i] based on linear OA(4917, 2403, F49, 9) (dual of [2403, 2386, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- 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(4915, 2401, F49, 8) (dual of [2401, 2386, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8) ⊂ Ce(7) [i] based on
- 3276 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 32 times 0, 1, 216 times 0, 1, 926 times 0, 1, 2093 times 0) [i] based on linear OA(4917, 2403, F49, 9) (dual of [2403, 2386, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4923, 5685, F49, 9) (dual of [5685, 5662, 10]-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.