Information on Result #680646
Linear OA(479, 1042, F4, 20) (dual of [1042, 963, 21]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(476, 1024, F4, 21) (dual of [1024, 948, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(461, 1024, F4, 17) (dual of [1024, 963, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(43, 18, F4, 2) (dual of [18, 15, 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(479, 1010, F4, 2, 20) (dual of [(1010, 2), 1941, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(479, 1010, F4, 3, 20) (dual of [(1010, 3), 2951, 21]-NRT-code) | [i] | ||
| 3 | Digital (59, 79, 1010)-net over F4 | [i] | ||
| 4 | Linear OOA(479, 521, F4, 2, 20) (dual of [(521, 2), 963, 21]-NRT-code) | [i] | OOA Folding | |