Information on Result #1315560
Linear OA(4929, 3118, F49, 12) (dual of [3118, 3089, 13]-code), using 709 step Varšamov–Edel lengthening with (ri) = (3, 6 times 0, 1, 41 times 0, 1, 162 times 0, 1, 496 times 0) based on linear OA(4923, 2403, F49, 12) (dual of [2403, 2380, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4921, 2401, F49, 11) (dual of [2401, 2380, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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
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(4929, 3118, F49, 2, 12) (dual of [(3118, 2), 6207, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4929, 3118, F49, 3, 12) (dual of [(3118, 3), 9325, 13]-NRT-code) | [i] | ||
| 3 | Digital (17, 29, 3118)-net over F49 | [i] | ||
| 4 | Linear OOA(4929, 1559, F49, 2, 12) (dual of [(1559, 2), 3089, 13]-NRT-code) | [i] | OOA Folding | |