Information on Result #1617507
Linear OOA(3137, 69, F3, 4, 76) (dual of [(69, 4), 139, 77]-NRT-code), using construction X applied to AG(4;F,175P) ⊂ AG(4;F,187P) based on
- linear OOA(3125, 63, F3, 4, 76) (dual of [(63, 4), 127, 77]-NRT-code), using algebraic-geometric NRT-code AG(4;F,175P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- linear OOA(3113, 63, F3, 4, 64) (dual of [(63, 4), 139, 65]-NRT-code), using algebraic-geometric NRT-code AG(4;F,187P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
- linear OOA(312, 6, F3, 4, 11) (dual of [(6, 4), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,16P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
Mode: 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(3137, 69, F3, 4, 75) (dual of [(69, 4), 139, 76]-NRT-code) | [i] | Strength Reduction for OOAs | |