Information on Result #1725052
Digital (33, 44, 2434)-net over F7, using net defined by OOA based on linear OOA(744, 2434, F7, 15, 11) (dual of [(2434, 15), 36466, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(744, 4869, F7, 3, 11) (dual of [(4869, 3), 14563, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(744, 4870, F7, 3, 11) (dual of [(4870, 3), 14566, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(744, 4870, F7, 11) (dual of [4870, 4826, 12]-code), using
- 62 step Varšamov–Edel lengthening with (ri) = (1, 7 times 0, 1, 53 times 0) [i] based on linear OA(742, 4806, F7, 11) (dual of [4806, 4764, 12]-code), using
- trace code [i] based on linear OA(4921, 2403, F49, 11) (dual of [2403, 2382, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4921, 2401, F49, 11) (dual of [2401, 2380, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 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(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(10) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(4921, 2403, F49, 11) (dual of [2403, 2382, 12]-code), using
- 62 step Varšamov–Edel lengthening with (ri) = (1, 7 times 0, 1, 53 times 0) [i] based on linear OA(742, 4806, F7, 11) (dual of [4806, 4764, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(744, 4870, F7, 11) (dual of [4870, 4826, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(744, 4870, F7, 3, 11) (dual of [(4870, 3), 14566, 12]-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.