Information on Result #988814
Linear OOA(4931, 801, F49, 3, 16) (dual of [(801, 3), 2372, 17]-NRT-code), using OOA 3-folding 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: 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(4939, 851, F49, 3, 16) (dual of [(851, 3), 2514, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4940, 852, F49, 3, 16) (dual of [(852, 3), 2516, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(4941, 853, F49, 3, 16) (dual of [(853, 3), 2518, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(4942, 854, F49, 3, 16) (dual of [(854, 3), 2520, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(4943, 901, F49, 3, 16) (dual of [(901, 3), 2660, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(4944, 902, F49, 3, 16) (dual of [(902, 3), 2662, 17]-NRT-code) | [i] | ||
| 7 | Digital (15, 31, 801)-net over F49 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |