Information on Result #1494531
Linear OOA(4949, 980, F49, 3, 22) (dual of [(980, 3), 2891, 23]-NRT-code), using OOA 2-folding based on linear OOA(4949, 1960, F49, 2, 22) (dual of [(1960, 2), 3871, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4949, 1961, F49, 2, 22) (dual of [(1961, 2), 3873, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4949, 1961, F49, 22) (dual of [1961, 1912, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4949, 2421, F49, 22) (dual of [2421, 2372, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(14) [i] based on
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(496, 20, F49, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,49)), using
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), using
- Reed–Solomon code RS(43,49) [i]
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), using
- construction X applied to Ce(21) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(4949, 2421, F49, 22) (dual of [2421, 2372, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4949, 1961, F49, 22) (dual of [1961, 1912, 23]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.