Information on Result #1033405
Linear OOA(4194, 72, F4, 3, 136) (dual of [(72, 3), 22, 137]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,54P) based on
- linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4143, 55, F4, 3, 110) (dual of [(55, 3), 22, 111]-NRT-code), using algebraic-geometric NRT-code AG(3;F,54P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(430, 17, F4, 3, 25) (dual of [(17, 3), 21, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, 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(4194, 72, F4, 3, 135) (dual of [(72, 3), 22, 136]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4194, 72, F4, 3, 134) (dual of [(72, 3), 22, 135]-NRT-code) | [i] | ||
| 3 | Linear OOA(4193, 71, F4, 3, 135) (dual of [(71, 3), 20, 136]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4192, 71, F4, 3, 134) (dual of [(71, 3), 21, 135]-NRT-code) | [i] | ||
| 5 | Linear OOA(4191, 71, F4, 3, 133) (dual of [(71, 3), 22, 134]-NRT-code) | [i] | ||