Information on Result #2626498
Linear OOA(3208, 80, F3, 3, 127) (dual of [(80, 3), 32, 128]-NRT-code), using strength reduction based on linear OOA(3208, 80, F3, 3, 128) (dual of [(80, 3), 32, 129]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(944, 20, F9, 3, 42) (dual of [(20, 3), 16, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [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]
- linear OOA(944, 20, F9, 3, 42) (dual of [(20, 3), 16, 43]-NRT-code), using
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(3211, 81, F3, 3, 127) (dual of [(81, 3), 32, 128]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3209, 80, F3, 3, 127) (dual of [(80, 3), 31, 128]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3207, 79, F3, 3, 126) (dual of [(79, 3), 30, 127]-NRT-code) | [i] | Truncation for OOAs | |