Information on Result #1033882

Linear OOA(4216, 82, F4, 3, 145) (dual of [(82, 3), 30, 146]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,62P) 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(4135, 55, F4, 3, 102) (dual of [(55, 3), 30, 103]-NRT-code), using algebraic-geometric NRT-code AG(3;F,62P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
  3. linear OOA(452, 27, F4, 3, 42) (dual of [(27, 3), 29, 43]-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(4216, 82, F4, 3, 144) (dual of [(82, 3), 30, 145]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4215, 81, F4, 3, 144) (dual of [(81, 3), 28, 145]-NRT-code) [i]Truncation for OOAs
3Linear OOA(4214, 81, F4, 3, 143) (dual of [(81, 3), 29, 144]-NRT-code) [i]
4Linear OOA(4213, 81, F4, 3, 142) (dual of [(81, 3), 30, 143]-NRT-code) [i]
5Linear OOA(4212, 80, F4, 3, 141) (dual of [(80, 3), 28, 142]-NRT-code) [i]
6Linear OOA(4211, 80, F4, 3, 140) (dual of [(80, 3), 29, 141]-NRT-code) [i]
7Linear OOA(4210, 80, F4, 3, 139) (dual of [(80, 3), 30, 140]-NRT-code) [i]
8Linear OOA(4209, 79, F4, 3, 138) (dual of [(79, 3), 28, 139]-NRT-code) [i]
9Linear OOA(4208, 79, F4, 3, 137) (dual of [(79, 3), 29, 138]-NRT-code) [i]
10Linear OOA(4207, 79, F4, 3, 136) (dual of [(79, 3), 30, 137]-NRT-code) [i]