Information on Result #2431726
Linear OOA(3122, 64, F3, 2, 89) (dual of [(64, 2), 6, 90]-NRT-code), using strength reduction based on linear OOA(3122, 64, F3, 2, 90) (dual of [(64, 2), 6, 91]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(913, 16, F9, 12) (dual of [16, 3, 13]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- linear OA(913, 16, F9, 12) (dual of [16, 3, 13]-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(3123, 64, F3, 2, 89) (dual of [(64, 2), 5, 90]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3121, 63, F3, 2, 88) (dual of [(63, 2), 5, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3120, 63, F3, 2, 87) (dual of [(63, 2), 6, 88]-NRT-code) | [i] | ||
| 4 | Linear OOA(3119, 62, F3, 2, 86) (dual of [(62, 2), 5, 87]-NRT-code) | [i] | ||
| 5 | Linear OOA(3118, 62, F3, 2, 85) (dual of [(62, 2), 6, 86]-NRT-code) | [i] | ||
| 6 | Linear OOA(3117, 61, F3, 2, 84) (dual of [(61, 2), 5, 85]-NRT-code) | [i] | ||
| 7 | Linear OOA(3116, 61, F3, 2, 83) (dual of [(61, 2), 6, 84]-NRT-code) | [i] | ||
| 8 | Linear OOA(3115, 60, F3, 2, 82) (dual of [(60, 2), 5, 83]-NRT-code) | [i] | ||
| 9 | Linear OOA(3113, 59, F3, 2, 80) (dual of [(59, 2), 5, 81]-NRT-code) | [i] | ||
| 10 | Linear OOA(3112, 59, F3, 2, 79) (dual of [(59, 2), 6, 80]-NRT-code) | [i] | ||
| 11 | Linear OOA(3111, 58, F3, 2, 78) (dual of [(58, 2), 5, 79]-NRT-code) | [i] | ||
| 12 | Linear OOA(3110, 58, F3, 2, 77) (dual of [(58, 2), 6, 78]-NRT-code) | [i] | ||
| 13 | Linear OOA(3109, 57, F3, 2, 76) (dual of [(57, 2), 5, 77]-NRT-code) | [i] | ||
| 14 | Linear OOA(3108, 57, F3, 2, 75) (dual of [(57, 2), 6, 76]-NRT-code) | [i] | ||
| 15 | Linear OOA(3122, 32, F3, 4, 89) (dual of [(32, 4), 6, 90]-NRT-code) | [i] | OOA Folding | |