Information on Result #988732
Linear OOA(4937, 39217, F49, 3, 13) (dual of [(39217, 3), 117614, 14]-NRT-code), using OOA 3-folding based on linear OA(4937, 117651, F49, 13) (dual of [117651, 117614, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4937, 117652, F49, 13) (dual of [117652, 117615, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
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(4943, 39267, F49, 3, 13) (dual of [(39267, 3), 117758, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4944, 39268, F49, 3, 13) (dual of [(39268, 3), 117760, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(4945, 39269, F49, 3, 13) (dual of [(39269, 3), 117762, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(4946, 39317, F49, 3, 13) (dual of [(39317, 3), 117905, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(4947, 39318, F49, 3, 13) (dual of [(39318, 3), 117907, 14]-NRT-code) | [i] | ||