Information on Result #1093023
Linear OOA(2169, 58, F2, 4, 77) (dual of [(58, 4), 63, 78]-NRT-code), using construction X applied to AG(4;F,57P) ⊂ AG(4;F,66P) based on
- linear OOA(2146, 48, F2, 4, 77) (dual of [(48, 4), 46, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,57P) 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(2128, 48, F2, 4, 59) (dual of [(48, 4), 64, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,66P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(223, 10, F2, 4, 17) (dual of [(10, 4), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,22P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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(2169, 58, F2, 4, 76) (dual of [(58, 4), 63, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2169, 58, F2, 4, 75) (dual of [(58, 4), 63, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2173, 59, F2, 4, 77) (dual of [(59, 4), 63, 78]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2169, 29, F2, 7, 77) (dual of [(29, 7), 34, 78]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2169, 29, F2, 8, 77) (dual of [(29, 8), 63, 78]-NRT-code) | [i] | ||