Information on Result #1090123
Linear OOA(3204, 59, F3, 4, 135) (dual of [(59, 4), 32, 136]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,57P) based on
- linear OOA(3139, 35, F3, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- linear OOA(3108, 35, F3, 4, 82) (dual of [(35, 4), 32, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,57P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(365, 24, F3, 4, 52) (dual of [(24, 4), 31, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,43P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
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, 59, F3, 4, 134) (dual of [(59, 4), 32, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3204, 59, F3, 4, 133) (dual of [(59, 4), 32, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(3204, 59, F3, 4, 132) (dual of [(59, 4), 32, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(3203, 58, F3, 4, 134) (dual of [(58, 4), 29, 135]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3202, 58, F3, 4, 133) (dual of [(58, 4), 30, 134]-NRT-code) | [i] | ||
| 6 | Linear OOA(3201, 58, F3, 4, 132) (dual of [(58, 4), 31, 133]-NRT-code) | [i] | ||
| 7 | Linear OOA(3200, 58, F3, 4, 131) (dual of [(58, 4), 32, 132]-NRT-code) | [i] | ||