Information on Result #1031653

Linear OOA(4106, 41, F4, 3, 77) (dual of [(41, 3), 17, 78]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,26P) based on
  1. linear OOA(477, 26, F4, 3, 77) (dual of [(26, 3), 1, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
  2. linear OOA(461, 26, F4, 3, 51) (dual of [(26, 3), 17, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,26P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27 (see above)
  3. linear OOA(429, 15, F4, 3, 25) (dual of [(15, 3), 16, 26]-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(4106, 41, F4, 3, 76) (dual of [(41, 3), 17, 77]-NRT-code) [i]Strength Reduction for OOAs