Information on Result #823385
Linear OOA(479, 2051, F4, 2, 18) (dual of [(2051, 2), 4023, 19]-NRT-code), using OOA 2-folding based on linear OA(479, 4102, F4, 18) (dual of [4102, 4023, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] 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(473, 4096, F4, 17) (dual of [4096, 4023, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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 OOA(481, 2052, F4, 2, 18) (dual of [(2052, 2), 4023, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(480, 2051, F4, 2, 18) (dual of [(2051, 2), 4022, 19]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(479, 2051, F4, 3, 18) (dual of [(2051, 3), 6074, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (61, 79, 2051)-net over F4 | [i] | ||