Information on Result #916016
Linear OOA(3138, 80, F3, 2, 83) (dual of [(80, 2), 22, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(929, 20, F9, 2, 27) (dual of [(20, 2), 11, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,12P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, 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(3138, 80, F3, 2, 82) (dual of [(80, 2), 22, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3138, 80, F3, 2, 81) (dual of [(80, 2), 22, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(3140, 81, F3, 2, 83) (dual of [(81, 2), 22, 84]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3142, 82, F3, 2, 83) (dual of [(82, 2), 22, 84]-NRT-code) | [i] | ||
| 5 | Linear OOA(3137, 79, F3, 2, 82) (dual of [(79, 2), 21, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3136, 79, F3, 2, 81) (dual of [(79, 2), 22, 82]-NRT-code) | [i] | ||
| 7 | Linear OOA(3135, 78, F3, 2, 80) (dual of [(78, 2), 21, 81]-NRT-code) | [i] | ||
| 8 | Linear OOA(3134, 78, F3, 2, 79) (dual of [(78, 2), 22, 80]-NRT-code) | [i] | ||
| 9 | Linear OOA(3133, 77, F3, 2, 78) (dual of [(77, 2), 21, 79]-NRT-code) | [i] | ||
| 10 | Linear OOA(3132, 77, F3, 2, 77) (dual of [(77, 2), 22, 78]-NRT-code) | [i] | ||
| 11 | Linear OOA(3138, 40, F3, 4, 83) (dual of [(40, 4), 22, 84]-NRT-code) | [i] | OOA Folding | |