Information on Result #915987
Linear OOA(3106, 64, F3, 2, 62) (dual of [(64, 2), 22, 63]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(921, 16, F9, 2, 20) (dual of [(16, 2), 11, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;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(3106, 64, F3, 2, 61) (dual of [(64, 2), 22, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3106, 64, F3, 2, 60) (dual of [(64, 2), 22, 61]-NRT-code) | [i] | ||
| 3 | Linear OOA(3108, 65, F3, 2, 62) (dual of [(65, 2), 22, 63]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3110, 66, F3, 2, 62) (dual of [(66, 2), 22, 63]-NRT-code) | [i] | ||
| 5 | Linear OOA(3107, 64, F3, 2, 62) (dual of [(64, 2), 21, 63]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3105, 63, F3, 2, 61) (dual of [(63, 2), 21, 62]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3104, 63, F3, 2, 60) (dual of [(63, 2), 22, 61]-NRT-code) | [i] | ||
| 8 | Linear OOA(3103, 62, F3, 2, 59) (dual of [(62, 2), 21, 60]-NRT-code) | [i] | ||
| 9 | Linear OOA(3102, 62, F3, 2, 58) (dual of [(62, 2), 22, 59]-NRT-code) | [i] | ||
| 10 | Linear OOA(3101, 61, F3, 2, 57) (dual of [(61, 2), 21, 58]-NRT-code) | [i] | ||
| 11 | Linear OOA(3100, 61, F3, 2, 56) (dual of [(61, 2), 22, 57]-NRT-code) | [i] | ||
| 12 | Linear OOA(3106, 32, F3, 4, 62) (dual of [(32, 4), 22, 63]-NRT-code) | [i] | OOA Folding | |