Information on Result #1049559
Linear OOA(3158, 54, F3, 3, 132) (dual of [(54, 3), 4, 133]-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(3137, 47, F3, 3, 115) (dual of [(47, 3), 4, 116]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
- 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
- juxtaposition [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(3158, 54, F3, 3, 131) (dual of [(54, 3), 4, 132]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3157, 53, F3, 3, 131) (dual of [(53, 3), 2, 132]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3145, 49, F3, 3, 119) (dual of [(49, 3), 2, 120]-NRT-code) | [i] | ||
| 4 | Linear OOA(3139, 47, F3, 3, 113) (dual of [(47, 3), 2, 114]-NRT-code) | [i] | ||
| 5 | Linear OOA(3138, 47, F3, 3, 112) (dual of [(47, 3), 3, 113]-NRT-code) | [i] | ||
| 6 | Linear OOA(3179, 61, F3, 3, 149) (dual of [(61, 3), 4, 150]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(3182, 62, F3, 3, 151) (dual of [(62, 3), 4, 152]-NRT-code) | [i] | ||
| 8 | Linear OOA(3188, 64, F3, 3, 156) (dual of [(64, 3), 4, 157]-NRT-code) | [i] | ||
| 9 | Linear OOA(3194, 66, F3, 3, 161) (dual of [(66, 3), 4, 162]-NRT-code) | [i] | ||