Information on Result #938153

Linear OOA(8139, 73, F8, 2, 122) (dual of [(73, 2), 7, 123]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,18P) based on
  1. linear OOA(8127, 64, F8, 2, 127) (dual of [(64, 2), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
  2. linear OOA(8121, 64, F8, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
  3. linear OOA(812, 9, F8, 2, 12) (dual of [(9, 2), 6, 13]-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(8137, 72, F8, 2, 120) (dual of [(72, 2), 7, 121]-NRT-code) [i]Truncation for OOAs