Information on Result #698215
Linear OA(4931, 2403, F49, 16) (dual of [2403, 2372, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) 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 OA(762, 4806, F7, 16) (dual of [4806, 4744, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(4939, 2453, F49, 16) (dual of [2453, 2414, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4940, 2456, F49, 16) (dual of [2456, 2416, 17]-code) | [i] | ||
| 4 | Linear OA(4941, 2458, F49, 16) (dual of [2458, 2417, 17]-code) | [i] | ||
| 5 | Linear OA(4942, 2460, F49, 16) (dual of [2460, 2418, 17]-code) | [i] | ||
| 6 | Linear OA(4943, 2503, F49, 16) (dual of [2503, 2460, 17]-code) | [i] | ||
| 7 | Linear OA(4944, 2555, F49, 16) (dual of [2555, 2511, 17]-code) | [i] | ||
| 8 | Linear OA(4936, 2436, F49, 16) (dual of [2436, 2400, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(4937, 2517, F49, 16) (dual of [2517, 2480, 17]-code) | [i] | ||
| 10 | Linear OA(4938, 2771, F49, 16) (dual of [2771, 2733, 17]-code) | [i] | ||
| 11 | Linear OA(4939, 3364, F49, 16) (dual of [3364, 3325, 17]-code) | [i] | ||
| 12 | Linear OA(4940, 4313, F49, 16) (dual of [4313, 4273, 17]-code) | [i] | ||
| 13 | Linear OA(4941, 5585, F49, 16) (dual of [5585, 5544, 17]-code) | [i] | ||
| 14 | Linear OOA(4931, 1201, F49, 2, 16) (dual of [(1201, 2), 2371, 17]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(4931, 801, F49, 3, 16) (dual of [(801, 3), 2372, 17]-NRT-code) | [i] | ||