Information on Result #1049556
Linear OOA(3137, 47, F3, 3, 115) (dual of [(47, 3), 4, 116]-NRT-code), using juxtaposition based on
- linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3116, 40, F3, 3, 98) (dual of [(40, 3), 4, 99]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- linear OOA(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,3) [i]
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- concatenation of two NRT-codes [i] based on
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(3137, 47, F3, 3, 114) (dual of [(47, 3), 4, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3127, 43, F3, 3, 105) (dual of [(43, 3), 2, 106]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3121, 41, F3, 3, 99) (dual of [(41, 3), 2, 100]-NRT-code) | [i] | ||
| 4 | Linear OOA(3120, 41, F3, 3, 98) (dual of [(41, 3), 3, 99]-NRT-code) | [i] | ||
| 5 | Linear OOA(3119, 41, F3, 3, 97) (dual of [(41, 3), 4, 98]-NRT-code) | [i] | ||
| 6 | Linear OOA(3239, 92, F3, 3, 115) (dual of [(92, 3), 37, 116]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3158, 54, F3, 3, 132) (dual of [(54, 3), 4, 133]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 8 | Linear OOA(3161, 55, F3, 3, 134) (dual of [(55, 3), 4, 135]-NRT-code) | [i] | ||
| 9 | Linear OOA(3167, 57, F3, 3, 139) (dual of [(57, 3), 4, 140]-NRT-code) | [i] | ||
| 10 | Linear OOA(3173, 59, F3, 3, 144) (dual of [(59, 3), 4, 145]-NRT-code) | [i] | ||