Information on Result #1163743

Linear OOA(2246, 60, F2, 7, 131) (dual of [(60, 7), 174, 132]-NRT-code), using construction X applied to AG(7;F,102P) ⊂ AG(7;F,121P) based on
  1. linear OOA(2200, 48, F2, 7, 131) (dual of [(48, 7), 136, 132]-NRT-code), using algebraic-geometric NRT-code AG(7;F,102P) 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, 7, 93) (dual of [(48, 7), 174, 94]-NRT-code), using algebraic-geometric NRT-code AG(7;F,121P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(246, 12, F2, 7, 37) (dual of [(12, 7), 38, 38]-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, 7, 130) (dual of [(60, 7), 174, 131]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2246, 60, F2, 7, 129) (dual of [(60, 7), 174, 130]-NRT-code) [i]
3Linear OOA(2246, 60, F2, 7, 128) (dual of [(60, 7), 174, 129]-NRT-code) [i]
4Linear OOA(2246, 60, F2, 7, 127) (dual of [(60, 7), 174, 128]-NRT-code) [i]
5Linear OOA(2247, 60, F2, 7, 131) (dual of [(60, 7), 173, 132]-NRT-code) [i]OOA Duplication
6Linear OOA(2249, 60, F2, 7, 131) (dual of [(60, 7), 171, 132]-NRT-code) [i]