Information on Result #1033728
Linear OOA(4202, 76, F4, 3, 138) (dual of [(76, 3), 26, 139]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,58P) 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(4139, 55, F4, 3, 106) (dual of [(55, 3), 26, 107]-NRT-code), using algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(438, 21, F4, 3, 31) (dual of [(21, 3), 25, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,31P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, 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(4202, 76, F4, 3, 137) (dual of [(76, 3), 26, 138]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4202, 76, F4, 3, 136) (dual of [(76, 3), 26, 137]-NRT-code) | [i] | ||
| 3 | Linear OOA(4202, 76, F4, 3, 135) (dual of [(76, 3), 26, 136]-NRT-code) | [i] | ||
| 4 | Linear OOA(4201, 75, F4, 3, 137) (dual of [(75, 3), 24, 138]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4200, 75, F4, 3, 136) (dual of [(75, 3), 25, 137]-NRT-code) | [i] | ||
| 6 | Linear OOA(4199, 75, F4, 3, 135) (dual of [(75, 3), 26, 136]-NRT-code) | [i] | ||
| 7 | Linear OOA(4198, 74, F4, 3, 134) (dual of [(74, 3), 24, 135]-NRT-code) | [i] | ||
| 8 | Linear OOA(4197, 74, F4, 3, 133) (dual of [(74, 3), 25, 134]-NRT-code) | [i] | ||