Information on Result #679651
Linear OA(482, 4111, F4, 18) (dual of [4111, 4029, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(467, 4096, F4, 15) (dual of [4096, 4029, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(43, 15, F4, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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(482, 2519, F4, 2, 18) (dual of [(2519, 2), 4956, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(482, 2519, F4, 3, 18) (dual of [(2519, 3), 7475, 19]-NRT-code) | [i] | ||
| 3 | Digital (64, 82, 2519)-net over F4 | [i] | ||
| 4 | Linear OOA(482, 2055, F4, 2, 18) (dual of [(2055, 2), 4028, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(482, 1370, F4, 3, 18) (dual of [(1370, 3), 4028, 19]-NRT-code) | [i] | ||