Information on Result #2241712
Linear OA(4113, 4118, F4, 24) (dual of [4118, 4005, 25]-code), using 1 times truncation based on linear OA(4114, 4119, F4, 25) (dual of [4119, 4005, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4113, 3489, F4, 2, 24) (dual of [(3489, 2), 6865, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4113, 3489, F4, 3, 24) (dual of [(3489, 3), 10354, 25]-NRT-code) | [i] | ||
| 3 | Digital (89, 113, 3489)-net over F4 | [i] | ||
| 4 | Linear OOA(4113, 2059, F4, 2, 24) (dual of [(2059, 2), 4005, 25]-NRT-code) | [i] | OOA Folding | |