Information on Result #1315589
Linear OA(4939, 3364, F49, 16) (dual of [3364, 3325, 17]-code), using 953 step Varšamov–Edel lengthening with (ri) = (3, 1, 4 times 0, 1, 21 times 0, 1, 79 times 0, 1, 252 times 0, 1, 591 times 0) based on linear OA(4931, 2403, F49, 16) (dual of [2403, 2372, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(4931, 2401, F49, 16) (dual of [2401, 2370, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(4939, 3364, F49, 2, 16) (dual of [(3364, 2), 6689, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4939, 3364, F49, 3, 16) (dual of [(3364, 3), 10053, 17]-NRT-code) | [i] | ||
| 3 | Digital (23, 39, 3364)-net over F49 | [i] | ||
| 4 | Linear OOA(4939, 1682, F49, 2, 16) (dual of [(1682, 2), 3325, 17]-NRT-code) | [i] | OOA Folding | |