Information on Result #1090198

Linear OOA(3214, 63, F3, 4, 137) (dual of [(63, 4), 38, 138]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,63P) 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(3102, 35, F3, 4, 76) (dual of [(35, 4), 38, 77]-NRT-code), using algebraic-geometric NRT-code AG(4;F,63P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(375, 28, F3, 4, 60) (dual of [(28, 4), 37, 61]-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(3214, 63, F3, 4, 136) (dual of [(63, 4), 38, 137]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3214, 63, F3, 4, 135) (dual of [(63, 4), 38, 136]-NRT-code) [i]
3Linear OOA(3214, 63, F3, 4, 134) (dual of [(63, 4), 38, 135]-NRT-code) [i]
4Linear OOA(3214, 63, F3, 4, 133) (dual of [(63, 4), 38, 134]-NRT-code) [i]
5Linear OOA(3211, 62, F3, 4, 134) (dual of [(62, 4), 37, 135]-NRT-code) [i]Truncation for OOAs
6Linear OOA(3210, 62, F3, 4, 133) (dual of [(62, 4), 38, 134]-NRT-code) [i]
7Linear OOA(3209, 61, F3, 4, 132) (dual of [(61, 4), 35, 133]-NRT-code) [i]
8Linear OOA(3208, 61, F3, 4, 131) (dual of [(61, 4), 36, 132]-NRT-code) [i]
9Linear OOA(3207, 61, F3, 4, 130) (dual of [(61, 4), 37, 131]-NRT-code) [i]