Information on Result #708549
Linear OA(4105, 1023, F4, 28) (dual of [1023, 918, 29]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,369}, and designed minimum distance d ≥ |I|+1 = 29
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4105, 881, F4, 2, 28) (dual of [(881, 2), 1657, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4105, 881, F4, 3, 28) (dual of [(881, 3), 2538, 29]-NRT-code) | [i] | ||
| 3 | Digital (77, 105, 881)-net over F4 | [i] | ||
| 4 | Linear OA(4109, 1051, F4, 28) (dual of [1051, 942, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4110, 1077, F4, 28) (dual of [1077, 967, 29]-code) | [i] | ||
| 6 | Linear OA(4111, 1115, F4, 28) (dual of [1115, 1004, 29]-code) | [i] | ||
| 7 | Linear OA(4112, 1164, F4, 28) (dual of [1164, 1052, 29]-code) | [i] | ||
| 8 | Linear OA(4113, 1221, F4, 28) (dual of [1221, 1108, 29]-code) | [i] | ||
| 9 | Linear OA(4114, 1283, F4, 28) (dual of [1283, 1169, 29]-code) | [i] | ||
| 10 | Linear OA(4171, 1088, F4, 40) (dual of [1088, 917, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OOA(4105, 511, F4, 2, 28) (dual of [(511, 2), 917, 29]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4105, 341, F4, 3, 28) (dual of [(341, 3), 918, 29]-NRT-code) | [i] | ||