Information on Result #1315652
Linear OA(4955, 3207, F49, 23) (dual of [3207, 3152, 24]-code), using 794 step Varšamov–Edel lengthening with (ri) = (4, 0, 1, 0, 0, 0, 1, 13 times 0, 1, 38 times 0, 1, 96 times 0, 1, 222 times 0, 1, 414 times 0) based on linear OA(4945, 2403, F49, 23) (dual of [2403, 2358, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(4945, 2401, F49, 23) (dual of [2401, 2356, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(4955, 3207, F49, 2, 23) (dual of [(3207, 2), 6359, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4955, 3207, F49, 3, 23) (dual of [(3207, 3), 9566, 24]-NRT-code) | [i] | ||
| 3 | Digital (32, 55, 3207)-net over F49 | [i] | ||
| 4 | Linear OOA(4955, 1603, F49, 2, 23) (dual of [(1603, 2), 3151, 24]-NRT-code) | [i] | OOA Folding | |