Information on Result #1090246
Linear OOA(3226, 67, F3, 4, 139) (dual of [(67, 4), 42, 140]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,67P) 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(398, 35, F3, 4, 72) (dual of [(35, 4), 42, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,67P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(387, 32, F3, 4, 66) (dual of [(32, 4), 41, 67]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,61P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, 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(3226, 67, F3, 4, 138) (dual of [(67, 4), 42, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3226, 67, F3, 4, 137) (dual of [(67, 4), 42, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 67, F3, 4, 136) (dual of [(67, 4), 42, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 67, F3, 4, 135) (dual of [(67, 4), 42, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(3222, 66, F3, 4, 135) (dual of [(66, 4), 42, 136]-NRT-code) | [i] | Truncation for OOAs | |