Information on Result #1315593
Linear OA(4937, 2518, F49, 16) (dual of [2518, 2481, 17]-code), using 107 step Varšamov–Edel lengthening with (ri) = (3, 4 times 0, 1, 21 times 0, 1, 79 times 0) based on linear OA(4932, 2406, F49, 16) (dual of [2406, 2374, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [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(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-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(4937, 2518, F49, 2, 16) (dual of [(2518, 2), 4999, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4937, 2518, F49, 3, 16) (dual of [(2518, 3), 7517, 17]-NRT-code) | [i] | ||
| 3 | Digital (21, 37, 2518)-net over F49 | [i] | ||
| 4 | Linear OOA(4937, 1259, F49, 2, 16) (dual of [(1259, 2), 2481, 17]-NRT-code) | [i] | OOA Folding | |