Information on Result #1726510
Digital (74, 99, 1263)-net over F7, using net defined by OOA based on linear OOA(799, 1263, F7, 27, 25) (dual of [(1263, 27), 34002, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(799, 5053, F7, 3, 25) (dual of [(5053, 3), 15060, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(799, 5056, F7, 3, 25) (dual of [(5056, 3), 15069, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(799, 5056, F7, 25) (dual of [5056, 4957, 26]-code), using
- 249 step Varšamov–Edel lengthening with (ri) = (1, 248 times 0) [i] based on linear OA(798, 4806, F7, 25) (dual of [4806, 4708, 26]-code), using
- trace code [i] based on linear OA(4949, 2403, F49, 25) (dual of [2403, 2354, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(4949, 2401, F49, 25) (dual of [2401, 2352, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4947, 2401, F49, 24) (dual of [2401, 2354, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- trace code [i] based on linear OA(4949, 2403, F49, 25) (dual of [2403, 2354, 26]-code), using
- 249 step Varšamov–Edel lengthening with (ri) = (1, 248 times 0) [i] based on linear OA(798, 4806, F7, 25) (dual of [4806, 4708, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(799, 5056, F7, 25) (dual of [5056, 4957, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(799, 5056, F7, 3, 25) (dual of [(5056, 3), 15069, 26]-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.