Information on Result #1030579
Linear OOA(3156, 64, F3, 3, 89) (dual of [(64, 3), 36, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(930, 16, F9, 3, 29) (dual of [(16, 3), 18, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, 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(3156, 64, F3, 3, 88) (dual of [(64, 3), 36, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3156, 64, F3, 3, 87) (dual of [(64, 3), 36, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(3156, 64, F3, 3, 86) (dual of [(64, 3), 36, 87]-NRT-code) | [i] | ||
| 4 | Linear OOA(3159, 65, F3, 3, 89) (dual of [(65, 3), 36, 90]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3157, 64, F3, 3, 89) (dual of [(64, 3), 35, 90]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3155, 63, F3, 3, 88) (dual of [(63, 3), 34, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3154, 63, F3, 3, 87) (dual of [(63, 3), 35, 88]-NRT-code) | [i] | ||
| 8 | Linear OOA(3153, 63, F3, 3, 86) (dual of [(63, 3), 36, 87]-NRT-code) | [i] | ||
| 9 | Linear OOA(3152, 62, F3, 3, 85) (dual of [(62, 3), 34, 86]-NRT-code) | [i] | ||
| 10 | Linear OOA(3151, 62, F3, 3, 84) (dual of [(62, 3), 35, 85]-NRT-code) | [i] | ||
| 11 | Linear OOA(3150, 62, F3, 3, 83) (dual of [(62, 3), 36, 84]-NRT-code) | [i] | ||
| 12 | Linear OOA(3149, 61, F3, 3, 82) (dual of [(61, 3), 34, 83]-NRT-code) | [i] | ||
| 13 | Linear OOA(3148, 61, F3, 3, 81) (dual of [(61, 3), 35, 82]-NRT-code) | [i] | ||
| 14 | Linear OOA(3147, 61, F3, 3, 80) (dual of [(61, 3), 36, 81]-NRT-code) | [i] | ||