Information on Result #698223
Linear OA(4921, 2403, F49, 11) (dual of [2403, 2382, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(4921, 2401, F49, 11) (dual of [2401, 2380, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(742, 4806, F7, 11) (dual of [4806, 4764, 12]-code) | [i] | Trace Code | |
| 2 | Linear OA(4926, 2453, F49, 11) (dual of [2453, 2427, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4927, 2456, F49, 11) (dual of [2456, 2429, 12]-code) | [i] | ||
| 4 | Linear OA(4928, 4756, F49, 11) (dual of [4756, 4728, 12]-code) | [i] | ||
| 5 | Linear OA(4924, 2414, F49, 11) (dual of [2414, 2390, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(4925, 2469, F49, 11) (dual of [2469, 2444, 12]-code) | [i] | ||
| 7 | Linear OA(4926, 2739, F49, 11) (dual of [2739, 2713, 12]-code) | [i] | ||
| 8 | Linear OA(4927, 3554, F49, 11) (dual of [3554, 3527, 12]-code) | [i] | ||
| 9 | Linear OA(4928, 5114, F49, 11) (dual of [5114, 5086, 12]-code) | [i] | ||
| 10 | Linear OOA(4921, 801, F49, 3, 11) (dual of [(801, 3), 2382, 12]-NRT-code) | [i] | OOA Folding | |