Information on Result #1178722

Linear OOA(2246, 60, F2, 8, 125) (dual of [(60, 8), 234, 126]-NRT-code), using construction X applied to AG(8;F,129P) ⊂ AG(8;F,151P) based on
  1. 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 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(2150, 48, F2, 8, 81) (dual of [(48, 8), 234, 82]-NRT-code), using algebraic-geometric NRT-code AG(8;F,151P) 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(2246, 60, F2, 8, 124) (dual of [(60, 8), 234, 125]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2246, 60, F2, 8, 123) (dual of [(60, 8), 234, 124]-NRT-code) [i]
3Linear OOA(2246, 60, F2, 8, 122) (dual of [(60, 8), 234, 123]-NRT-code) [i]
4Linear OOA(2246, 60, F2, 8, 121) (dual of [(60, 8), 234, 122]-NRT-code) [i]
5Linear OOA(2247, 60, F2, 8, 125) (dual of [(60, 8), 233, 126]-NRT-code) [i]OOA Duplication
6Linear OOA(2249, 60, F2, 8, 125) (dual of [(60, 8), 231, 126]-NRT-code) [i]