Information on Result #1092766
Linear OOA(2153, 56, F2, 4, 65) (dual of [(56, 4), 71, 66]-NRT-code), using construction X applied to AG(4;F,17P) ⊂ AG(4;F,21P) based on
- linear OOA(2119, 42, F2, 4, 65) (dual of [(42, 4), 49, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,17P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(295, 42, F2, 4, 41) (dual of [(42, 4), 73, 42]-NRT-code), using algebraic-geometric NRT-code AG(4;F,21P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(234, 14, F2, 4, 23) (dual of [(14, 4), 22, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,32P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2153, 56, F2, 4, 64) (dual of [(56, 4), 71, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2153, 28, F2, 7, 65) (dual of [(28, 7), 43, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2153, 28, F2, 8, 65) (dual of [(28, 8), 71, 66]-NRT-code) | [i] | ||