Information on Result #1030590
Linear OOA(3166, 64, F3, 3, 104) (dual of [(64, 3), 26, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(935, 16, F9, 3, 34) (dual of [(16, 3), 13, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [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(3166, 64, F3, 3, 103) (dual of [(64, 3), 26, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3166, 64, F3, 3, 102) (dual of [(64, 3), 26, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(3166, 64, F3, 3, 101) (dual of [(64, 3), 26, 102]-NRT-code) | [i] | ||
| 4 | Linear OOA(3169, 65, F3, 3, 104) (dual of [(65, 3), 26, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3167, 64, F3, 3, 104) (dual of [(64, 3), 25, 105]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3165, 63, F3, 3, 103) (dual of [(63, 3), 24, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3164, 63, F3, 3, 102) (dual of [(63, 3), 25, 103]-NRT-code) | [i] | ||
| 8 | Linear OOA(3163, 63, F3, 3, 101) (dual of [(63, 3), 26, 102]-NRT-code) | [i] | ||
| 9 | Linear OOA(3162, 62, F3, 3, 100) (dual of [(62, 3), 24, 101]-NRT-code) | [i] | ||
| 10 | Linear OOA(3161, 62, F3, 3, 99) (dual of [(62, 3), 25, 100]-NRT-code) | [i] | ||
| 11 | Linear OOA(3160, 62, F3, 3, 98) (dual of [(62, 3), 26, 99]-NRT-code) | [i] | ||
| 12 | Linear OOA(3159, 61, F3, 3, 97) (dual of [(61, 3), 24, 98]-NRT-code) | [i] | ||
| 13 | Linear OOA(3158, 61, F3, 3, 96) (dual of [(61, 3), 25, 97]-NRT-code) | [i] | ||
| 14 | Linear OOA(3157, 61, F3, 3, 95) (dual of [(61, 3), 26, 96]-NRT-code) | [i] | ||