Information on Result #1178716

Linear OOA(2258, 60, F2, 8, 137) (dual of [(60, 8), 222, 138]-NRT-code), using construction X applied to AG(8;F,123P) ⊂ AG(8;F,145P) based on
  1. linear OOA(2206, 48, F2, 8, 137) (dual of [(48, 8), 178, 138]-NRT-code), using algebraic-geometric NRT-code AG(8;F,123P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2162, 48, F2, 8, 93) (dual of [(48, 8), 222, 94]-NRT-code), using algebraic-geometric NRT-code AG(8;F,145P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(252, 12, F2, 8, 43) (dual of [(12, 8), 44, 44]-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:

ResultThis
result
only		Method
1Linear OOA(2258, 60, F2, 8, 136) (dual of [(60, 8), 222, 137]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2258, 60, F2, 8, 135) (dual of [(60, 8), 222, 136]-NRT-code) [i]
3Linear OOA(2258, 60, F2, 8, 134) (dual of [(60, 8), 222, 135]-NRT-code) [i]
4Linear OOA(2258, 60, F2, 8, 133) (dual of [(60, 8), 222, 134]-NRT-code) [i]
5Linear OOA(2259, 60, F2, 8, 137) (dual of [(60, 8), 221, 138]-NRT-code) [i]OOA Duplication