Information on Result #903099
Linear OOA(4912, 58876, F49, 2, 4) (dual of [(58876, 2), 117740, 5]-NRT-code), using (u, u+v)-construction based on
- linear OOA(492, 50, F49, 2, 2) (dual of [(50, 2), 98, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;98,49) [i]
- linear OOA(4910, 58826, F49, 2, 4) (dual of [(58826, 2), 117642, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4910, 117652, F49, 4) (dual of [117652, 117642, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(4910, 117649, F49, 4) (dual of [117649, 117639, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(497, 117649, F49, 3) (dual of [117649, 117642, 4]-code or 117649-cap in PG(6,49)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 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(3) ⊂ Ce(2) [i] based on
- OOA 2-folding [i] based on linear OA(4910, 117652, F49, 4) (dual of [117652, 117642, 5]-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(4912, 58875, F49, 3, 4) (dual of [(58875, 3), 176613, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |