Information on Result #1088352
Linear OOA(278, 26, F2, 4, 44) (dual of [(26, 4), 26, 45]-NRT-code), using construction X applied to AG(4;F,31P) ⊂ AG(4;F,44P) based on
- linear OOA(263, 19, F2, 4, 44) (dual of [(19, 4), 13, 45]-NRT-code), using algebraic-geometric NRT-code AG(4;F,31P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(250, 19, F2, 4, 31) (dual of [(19, 4), 26, 32]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(215, 7, F2, 4, 12) (dual of [(7, 4), 13, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,15P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, 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(278, 26, F2, 4, 43) (dual of [(26, 4), 26, 44]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(278, 13, F2, 7, 44) (dual of [(13, 7), 13, 45]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(278, 13, F2, 8, 44) (dual of [(13, 8), 26, 45]-NRT-code) | [i] | ||