Information on Result #1742946
Digital (10, 18, 1256)-net over F49, using net defined by OOA based on linear OOA(4918, 1256, F49, 10, 8) (dual of [(1256, 10), 12542, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4918, 2513, F49, 2, 8) (dual of [(2513, 2), 5008, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4918, 2514, F49, 2, 8) (dual of [(2514, 2), 5010, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4918, 2514, F49, 8) (dual of [2514, 2496, 9]-code), using
- 108 step Varšamov–Edel lengthening with (ri) = (2, 12 times 0, 1, 94 times 0) [i] based on linear OA(4915, 2403, F49, 8) (dual of [2403, 2388, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- 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(4913, 2401, F49, 7) (dual of [2401, 2388, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- 108 step Varšamov–Edel lengthening with (ri) = (2, 12 times 0, 1, 94 times 0) [i] based on linear OA(4915, 2403, F49, 8) (dual of [2403, 2388, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4918, 2514, F49, 8) (dual of [2514, 2496, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(4918, 2514, F49, 2, 8) (dual of [(2514, 2), 5010, 9]-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.