Information on Result #1178772
Linear OOA(2260, 63, F2, 8, 125) (dual of [(63, 8), 244, 126]-NRT-code), using construction X applied to AG(8;F,129P) ⊂ AG(8;F,156P) based on
- linear OOA(2194, 48, F2, 8, 125) (dual of [(48, 8), 190, 126]-NRT-code), using algebraic-geometric NRT-code AG(8;F,129P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2140, 48, F2, 8, 71) (dual of [(48, 8), 244, 72]-NRT-code), using algebraic-geometric NRT-code AG(8;F,156P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(266, 15, F2, 8, 53) (dual of [(15, 8), 54, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,66P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, 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(2260, 63, F2, 8, 124) (dual of [(63, 8), 244, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2260, 63, F2, 8, 123) (dual of [(63, 8), 244, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(2260, 63, F2, 8, 122) (dual of [(63, 8), 244, 123]-NRT-code) | [i] | ||