Information on Result #1128613

Linear OOA(2259, 69, F2, 5, 126) (dual of [(69, 5), 86, 127]-NRT-code), using construction X applied to AG(5;F,56P) ⊂ AG(5;F,78P) based on
  1. linear OOA(2196, 48, F2, 5, 127) (dual of [(48, 5), 44, 128]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) 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(2152, 48, F2, 5, 83) (dual of [(48, 5), 88, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,78P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(263, 21, F2, 5, 42) (dual of [(21, 5), 42, 43]-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(2259, 69, F2, 5, 125) (dual of [(69, 5), 86, 126]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2259, 69, F2, 5, 124) (dual of [(69, 5), 86, 125]-NRT-code) [i]
3Linear OOA(2259, 69, F2, 5, 123) (dual of [(69, 5), 86, 124]-NRT-code) [i]
4Linear OOA(2259, 69, F2, 5, 122) (dual of [(69, 5), 86, 123]-NRT-code) [i]