Information on Result #1033570

Linear OOA(4204, 76, F4, 3, 142) (dual of [(76, 3), 24, 143]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,56P) based on
  1. linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
  2. linear OOA(4141, 55, F4, 3, 108) (dual of [(55, 3), 24, 109]-NRT-code), using algebraic-geometric NRT-code AG(3;F,56P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
  3. linear OOA(440, 21, F4, 3, 33) (dual of [(21, 3), 23, 34]-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(4204, 76, F4, 3, 141) (dual of [(76, 3), 24, 142]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4204, 76, F4, 3, 140) (dual of [(76, 3), 24, 141]-NRT-code) [i]
3Linear OOA(4204, 76, F4, 3, 139) (dual of [(76, 3), 24, 140]-NRT-code) [i]
4Linear OOA(4203, 75, F4, 3, 141) (dual of [(75, 3), 22, 142]-NRT-code) [i]Truncation for OOAs
5Linear OOA(4202, 75, F4, 3, 140) (dual of [(75, 3), 23, 141]-NRT-code) [i]
6Linear OOA(4201, 75, F4, 3, 139) (dual of [(75, 3), 24, 140]-NRT-code) [i]
7Linear OOA(4200, 74, F4, 3, 138) (dual of [(74, 3), 22, 139]-NRT-code) [i]
8Linear OOA(4199, 74, F4, 3, 137) (dual of [(74, 3), 23, 138]-NRT-code) [i]
9Linear OOA(4198, 74, F4, 3, 136) (dual of [(74, 3), 24, 137]-NRT-code) [i]
10Linear OOA(4197, 73, F4, 3, 135) (dual of [(73, 3), 22, 136]-NRT-code) [i]
11Linear OOA(4196, 73, F4, 3, 134) (dual of [(73, 3), 23, 135]-NRT-code) [i]