Information on Result #916001
Linear OOA(3116, 68, F3, 2, 68) (dual of [(68, 2), 20, 69]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(924, 17, F9, 2, 22) (dual of [(17, 2), 10, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(924, 20, F9, 2, 22) (dual of [(20, 2), 16, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(924, 20, F9, 2, 22) (dual of [(20, 2), 16, 23]-NRT-code), 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(3116, 68, F3, 2, 67) (dual of [(68, 2), 20, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3116, 68, F3, 2, 66) (dual of [(68, 2), 20, 67]-NRT-code) | [i] | ||
| 3 | Linear OOA(3117, 68, F3, 2, 68) (dual of [(68, 2), 19, 69]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3115, 67, F3, 2, 67) (dual of [(67, 2), 19, 68]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3114, 67, F3, 2, 66) (dual of [(67, 2), 20, 67]-NRT-code) | [i] | ||
| 6 | Linear OOA(3113, 66, F3, 2, 65) (dual of [(66, 2), 19, 66]-NRT-code) | [i] | ||
| 7 | Linear OOA(3112, 66, F3, 2, 64) (dual of [(66, 2), 20, 65]-NRT-code) | [i] | ||
| 8 | Linear OOA(3116, 34, F3, 4, 68) (dual of [(34, 4), 20, 69]-NRT-code) | [i] | OOA Folding | |