Information on Result #1090514

Linear OOA(3231, 68, F3, 4, 143) (dual of [(68, 4), 41, 144]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,68P) based on
  1. linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 28 and N(F) ≥ 37, using
  2. linear OOA(3103, 36, F3, 4, 75) (dual of [(36, 4), 41, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,68P) [i] based on function field F/F3 with g(F) = 28 and N(F) ≥ 37 (see above)
  3. linear OOA(388, 32, F3, 4, 67) (dual of [(32, 4), 40, 68]-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(3231, 68, F3, 4, 142) (dual of [(68, 4), 41, 143]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3231, 68, F3, 4, 141) (dual of [(68, 4), 41, 142]-NRT-code) [i]
3Linear OOA(3231, 68, F3, 4, 140) (dual of [(68, 4), 41, 141]-NRT-code) [i]
4Linear OOA(3232, 68, F3, 4, 143) (dual of [(68, 4), 40, 144]-NRT-code) [i]OOA Duplication