Information on Result #1093042
Linear OOA(2186, 60, F2, 4, 89) (dual of [(60, 4), 54, 90]-NRT-code), using construction X applied to AG(4;F,51P) ⊂ AG(4;F,61P) based on
- linear OOA(2158, 48, F2, 4, 89) (dual of [(48, 4), 34, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) 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(2138, 48, F2, 4, 69) (dual of [(48, 4), 54, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,61P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(228, 12, F2, 4, 19) (dual of [(12, 4), 20, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,28P) [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, 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(2186, 60, F2, 4, 88) (dual of [(60, 4), 54, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2186, 60, F2, 4, 87) (dual of [(60, 4), 54, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(2190, 61, F2, 4, 89) (dual of [(61, 4), 54, 90]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2187, 60, F2, 4, 89) (dual of [(60, 4), 53, 90]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2186, 30, F2, 7, 89) (dual of [(30, 7), 24, 90]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2186, 30, F2, 8, 89) (dual of [(30, 8), 54, 90]-NRT-code) | [i] | ||