Information on Result #708043
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 = {313,314,…,340}, 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(4125, 1066, F4, 30) (dual of [1066, 941, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(4124, 1064, F4, 30) (dual of [1064, 940, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(4132, 1073, F4, 31) (dual of [1073, 941, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(4117, 1050, F4, 30) (dual of [1050, 933, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(4141, 1082, F4, 33) (dual of [1082, 941, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(4149, 1090, F4, 34) (dual of [1090, 941, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(4132, 1050, F4, 34) (dual of [1050, 918, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(4146, 1064, F4, 36) (dual of [1064, 918, 37]-code) | [i] | ✔ | |
| 18 | Linear OOA(4105, 511, F4, 2, 28) (dual of [(511, 2), 917, 29]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(4105, 341, F4, 3, 28) (dual of [(341, 3), 918, 29]-NRT-code) | [i] | ||