Information on Result #679764
Linear OA(4104, 4127, F4, 22) (dual of [4127, 4023, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
- linear OA(497, 4096, F4, 22) (dual of [4096, 3999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(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 OA(4105, 4128, F4, 22) (dual of [4128, 4023, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4104, 3474, F4, 2, 22) (dual of [(3474, 2), 6844, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4104, 3474, F4, 3, 22) (dual of [(3474, 3), 10318, 23]-NRT-code) | [i] | ||
| 4 | Digital (82, 104, 3474)-net over F4 | [i] | ||
| 5 | Linear OA(4107, 4132, F4, 22) (dual of [4132, 4025, 23]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(4108, 4134, F4, 22) (dual of [4134, 4026, 23]-code) | [i] | ||
| 7 | Linear OA(4109, 4136, F4, 22) (dual of [4136, 4027, 23]-code) | [i] | ||
| 8 | Linear OOA(4104, 2063, F4, 2, 22) (dual of [(2063, 2), 4022, 23]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4104, 1375, F4, 3, 22) (dual of [(1375, 3), 4021, 23]-NRT-code) | [i] | ||