Information on Result #1030596
Linear OOA(3170, 64, F3, 3, 110) (dual of [(64, 3), 22, 111]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(937, 16, F9, 3, 36) (dual of [(16, 3), 11, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,11P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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(3170, 64, F3, 3, 109) (dual of [(64, 3), 22, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3168, 63, F3, 3, 108) (dual of [(63, 3), 21, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3167, 63, F3, 3, 107) (dual of [(63, 3), 22, 108]-NRT-code) | [i] | ||
| 4 | Linear OOA(3165, 62, F3, 3, 105) (dual of [(62, 3), 21, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(3164, 62, F3, 3, 104) (dual of [(62, 3), 22, 105]-NRT-code) | [i] | ||
| 6 | Linear OOA(3161, 61, F3, 3, 101) (dual of [(61, 3), 22, 102]-NRT-code) | [i] | ||