Information on Result #2272116
Linear OA(4122, 16400, F4, 23) (dual of [16400, 16278, 24]-code), using 1 times code embedding in larger space based on linear OA(4121, 16399, F4, 23) (dual of [16399, 16278, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 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(4122, 8502, F4, 2, 23) (dual of [(8502, 2), 16882, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4122, 8502, F4, 3, 23) (dual of [(8502, 3), 25384, 24]-NRT-code) | [i] | ||
| 3 | Digital (99, 122, 8502)-net over F4 | [i] | ||
| 4 | Linear OOA(4122, 8200, F4, 2, 23) (dual of [(8200, 2), 16278, 24]-NRT-code) | [i] | OOA Folding | |