Information on Result #1030616
Linear OOA(3204, 80, F3, 3, 122) (dual of [(80, 3), 36, 123]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(942, 20, F9, 3, 40) (dual of [(20, 3), 18, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [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(3204, 80, F3, 3, 121) (dual of [(80, 3), 36, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3204, 80, F3, 3, 120) (dual of [(80, 3), 36, 121]-NRT-code) | [i] | ||
| 3 | Linear OOA(3204, 80, F3, 3, 119) (dual of [(80, 3), 36, 120]-NRT-code) | [i] | ||
| 4 | Linear OOA(3204, 80, F3, 3, 118) (dual of [(80, 3), 36, 119]-NRT-code) | [i] | ||
| 5 | Linear OOA(3207, 81, F3, 3, 122) (dual of [(81, 3), 36, 123]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(3205, 80, F3, 3, 122) (dual of [(80, 3), 35, 123]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(3203, 79, F3, 3, 121) (dual of [(79, 3), 34, 122]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3202, 79, F3, 3, 120) (dual of [(79, 3), 35, 121]-NRT-code) | [i] | ||
| 9 | Linear OOA(3201, 79, F3, 3, 119) (dual of [(79, 3), 36, 120]-NRT-code) | [i] | ||
| 10 | Linear OOA(3200, 78, F3, 3, 118) (dual of [(78, 3), 34, 119]-NRT-code) | [i] | ||
| 11 | Linear OOA(3199, 78, F3, 3, 117) (dual of [(78, 3), 35, 118]-NRT-code) | [i] | ||
| 12 | Linear OOA(3198, 78, F3, 3, 116) (dual of [(78, 3), 36, 117]-NRT-code) | [i] | ||
| 13 | Linear OOA(3197, 77, F3, 3, 115) (dual of [(77, 3), 34, 116]-NRT-code) | [i] | ||
| 14 | Linear OOA(3196, 77, F3, 3, 114) (dual of [(77, 3), 35, 115]-NRT-code) | [i] | ||
| 15 | Linear OOA(3195, 77, F3, 3, 113) (dual of [(77, 3), 36, 114]-NRT-code) | [i] | ||
| 16 | Linear OOA(3193, 76, F3, 3, 111) (dual of [(76, 3), 35, 112]-NRT-code) | [i] | ||