Information on Result #679649
Linear OA(492, 4109, F4, 20) (dual of [4109, 4017, 21]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
- linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(492, 2771, F4, 2, 20) (dual of [(2771, 2), 5450, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(492, 2771, F4, 3, 20) (dual of [(2771, 3), 8221, 21]-NRT-code) | [i] | ||
| 3 | Digital (72, 92, 2771)-net over F4 | [i] | ||
| 4 | Linear OOA(492, 2054, F4, 2, 20) (dual of [(2054, 2), 4016, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(492, 1369, F4, 3, 20) (dual of [(1369, 3), 4015, 21]-NRT-code) | [i] | ||