Information on Result #1563597
Linear OOA(4927, 1204, F49, 3, 13) (dual of [(1204, 3), 3585, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4927, 1204, F49, 2, 13) (dual of [(1204, 2), 2381, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4927, 2408, F49, 13) (dual of [2408, 2381, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4927, 2409, F49, 13) (dual of [2409, 2382, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(4925, 2401, F49, 13) (dual of [2401, 2376, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(492, 8, F49, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4927, 2409, F49, 13) (dual of [2409, 2382, 14]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4927, 601, F49, 15, 13) (dual of [(601, 15), 8988, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |