Information on Result #1090118

Linear OOA(3206, 59, F3, 4, 139) (dual of [(59, 4), 30, 140]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,55P) based on
  1. linear OOA(3139, 35, F3, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
  2. linear OOA(3110, 35, F3, 4, 84) (dual of [(35, 4), 30, 85]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(367, 24, F3, 4, 54) (dual of [(24, 4), 29, 55]-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(3206, 59, F3, 4, 138) (dual of [(59, 4), 30, 139]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3206, 59, F3, 4, 137) (dual of [(59, 4), 30, 138]-NRT-code) [i]
3Linear OOA(3206, 59, F3, 4, 136) (dual of [(59, 4), 30, 137]-NRT-code) [i]
4Linear OOA(3206, 59, F3, 4, 135) (dual of [(59, 4), 30, 136]-NRT-code) [i]
5Linear OOA(3203, 58, F3, 4, 136) (dual of [(58, 4), 29, 137]-NRT-code) [i]Truncation for OOAs
6Linear OOA(3202, 58, F3, 4, 135) (dual of [(58, 4), 30, 136]-NRT-code) [i]
7Linear OOA(3201, 57, F3, 4, 134) (dual of [(57, 4), 27, 135]-NRT-code) [i]
8Linear OOA(3200, 57, F3, 4, 133) (dual of [(57, 4), 28, 134]-NRT-code) [i]
9Linear OOA(3199, 57, F3, 4, 132) (dual of [(57, 4), 29, 133]-NRT-code) [i]
10Linear OOA(3198, 57, F3, 4, 131) (dual of [(57, 4), 30, 132]-NRT-code) [i]