Information on Result #1093558

Linear OOA(3209, 60, F3, 4, 141) (dual of [(60, 4), 31, 142]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,28P) 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) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(3113, 36, F3, 4, 87) (dual of [(36, 4), 31, 88]-NRT-code), using algebraic-geometric NRT-code AG(4;F,28P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(366, 24, F3, 4, 53) (dual of [(24, 4), 30, 54]-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(3209, 60, F3, 4, 140) (dual of [(60, 4), 31, 141]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3203, 58, F3, 4, 135) (dual of [(58, 4), 29, 136]-NRT-code) [i]Truncation for OOAs
3Linear OOA(3202, 58, F3, 4, 134) (dual of [(58, 4), 30, 135]-NRT-code) [i]
4Linear OOA(3201, 58, F3, 4, 133) (dual of [(58, 4), 31, 134]-NRT-code) [i]
5Linear OOA(3200, 57, F3, 4, 132) (dual of [(57, 4), 28, 133]-NRT-code) [i]
6Linear OOA(3199, 57, F3, 4, 131) (dual of [(57, 4), 29, 132]-NRT-code) [i]
7Linear OOA(3198, 57, F3, 4, 130) (dual of [(57, 4), 30, 131]-NRT-code) [i]
8Linear OOA(3197, 57, F3, 4, 129) (dual of [(57, 4), 31, 130]-NRT-code) [i]