Information on Result #1178745
Linear OOA(2251, 61, F2, 8, 124) (dual of [(61, 8), 237, 125]-NRT-code), using construction X applied to AG(8;F,129P) ⊂ AG(8;F,153P) based on
- linear OOA(2194, 48, F2, 8, 125) (dual of [(48, 8), 190, 126]-NRT-code), using algebraic-geometric NRT-code AG(8;F,129P) 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(2146, 48, F2, 8, 77) (dual of [(48, 8), 238, 78]-NRT-code), using algebraic-geometric NRT-code AG(8;F,153P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(257, 13, F2, 8, 46) (dual of [(13, 8), 47, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(257, 14, F2, 8, 46) (dual of [(14, 8), 55, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,65P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(257, 14, F2, 8, 46) (dual of [(14, 8), 55, 47]-NRT-code), 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(2251, 61, F2, 8, 123) (dual of [(61, 8), 237, 124]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2251, 61, F2, 8, 122) (dual of [(61, 8), 237, 123]-NRT-code) | [i] | ||