Information on Result #2272394
Linear OA(4123, 4128, F4, 26) (dual of [4128, 4005, 27]-code), using 1 times code embedding in larger space based on linear OA(4122, 4127, F4, 26) (dual of [4127, 4005, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(4123, 3737, F4, 2, 26) (dual of [(3737, 2), 7351, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4123, 3737, F4, 3, 26) (dual of [(3737, 3), 11088, 27]-NRT-code) | [i] | ||
| 3 | Digital (97, 123, 3737)-net over F4 | [i] | ||
| 4 | Linear OOA(4123, 2064, F4, 2, 26) (dual of [(2064, 2), 4005, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4123, 1376, F4, 3, 26) (dual of [(1376, 3), 4005, 27]-NRT-code) | [i] | ||