Information on Result #1178650

Linear OOA(2221, 58, F2, 8, 109) (dual of [(58, 8), 243, 110]-NRT-code), using construction X applied to AG(8;F,137P) ⊂ AG(8;F,156P) based on
  1. linear OOA(2178, 48, F2, 8, 109) (dual of [(48, 8), 206, 110]-NRT-code), using algebraic-geometric NRT-code AG(8;F,137P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2140, 48, F2, 8, 71) (dual of [(48, 8), 244, 72]-NRT-code), using algebraic-geometric NRT-code AG(8;F,156P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(243, 10, F2, 8, 37) (dual of [(10, 8), 37, 38]-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(2221, 58, F2, 8, 108) (dual of [(58, 8), 243, 109]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2221, 58, F2, 8, 107) (dual of [(58, 8), 243, 108]-NRT-code) [i]
3Linear OOA(2221, 58, F2, 8, 106) (dual of [(58, 8), 243, 107]-NRT-code) [i]
4Linear OOA(2221, 58, F2, 8, 105) (dual of [(58, 8), 243, 106]-NRT-code) [i]