Information on Result #903147
Linear OOA(4919, 1251, F49, 2, 8) (dual of [(1251, 2), 2483, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(494, 50, F49, 2, 4) (dual of [(50, 2), 96, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;96,49) [i]
- linear OOA(4915, 1201, F49, 2, 8) (dual of [(1201, 2), 2387, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4915, 2402, F49, 8) (dual of [2402, 2387, 9]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(4915, 2403, F49, 8) (dual of [2403, 2388, 9]-code), using
- OOA 2-folding [i] based on linear OA(4915, 2402, F49, 8) (dual of [2402, 2387, 9]-code), using
Mode: Constructive and 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(4919, 625, F49, 10, 8) (dual of [(625, 10), 6231, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |