Information on Result #916005
Linear OOA(3122, 72, F3, 2, 71) (dual of [(72, 2), 22, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(925, 18, F9, 2, 23) (dual of [(18, 2), 11, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(925, 20, F9, 2, 23) (dual of [(20, 2), 15, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,16P) [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(925, 20, F9, 2, 23) (dual of [(20, 2), 15, 24]-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(3122, 72, F3, 2, 70) (dual of [(72, 2), 22, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3121, 71, F3, 2, 70) (dual of [(71, 2), 21, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3120, 71, F3, 2, 69) (dual of [(71, 2), 22, 70]-NRT-code) | [i] | ||
| 4 | Linear OOA(3119, 70, F3, 2, 68) (dual of [(70, 2), 21, 69]-NRT-code) | [i] | ||
| 5 | Linear OOA(3118, 70, F3, 2, 67) (dual of [(70, 2), 22, 68]-NRT-code) | [i] | ||
| 6 | Linear OOA(3115, 68, F3, 2, 64) (dual of [(68, 2), 21, 65]-NRT-code) | [i] | ||
| 7 | Linear OOA(3122, 36, F3, 4, 71) (dual of [(36, 4), 22, 72]-NRT-code) | [i] | OOA Folding | |