Information on Result #873282
Linear OOA(4931, 58826, F49, 2, 11) (dual of [(58826, 2), 117621, 12]-NRT-code), using OOA 2-folding based on linear OA(4931, 117652, F49, 11) (dual of [117652, 117621, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4931, 117649, F49, 11) (dual of [117649, 117618, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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
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(4936, 58876, F49, 2, 11) (dual of [(58876, 2), 117716, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4937, 58877, F49, 2, 11) (dual of [(58877, 2), 117717, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(4940, 60052, F49, 2, 11) (dual of [(60052, 2), 120064, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(4931, 58826, F49, 3, 11) (dual of [(58826, 3), 176447, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (20, 31, 58826)-net over F49 | [i] | ||