Information on Result #1149788

Linear OOA(2260, 65, F2, 6, 133) (dual of [(65, 6), 130, 134]-NRT-code), using construction X applied to AG(6;F,77P) ⊂ AG(6;F,99P) based on
  1. linear OOA(2202, 48, F2, 6, 133) (dual of [(48, 6), 86, 134]-NRT-code), using algebraic-geometric NRT-code AG(6;F,77P) 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(2158, 48, F2, 6, 89) (dual of [(48, 6), 130, 90]-NRT-code), using algebraic-geometric NRT-code AG(6;F,99P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(258, 17, F2, 6, 43) (dual of [(17, 6), 44, 44]-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(2260, 65, F2, 6, 132) (dual of [(65, 6), 130, 133]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2260, 65, F2, 6, 131) (dual of [(65, 6), 130, 132]-NRT-code) [i]
3Linear OOA(2260, 65, F2, 6, 130) (dual of [(65, 6), 130, 131]-NRT-code) [i]
4Linear OOA(2260, 65, F2, 6, 129) (dual of [(65, 6), 130, 130]-NRT-code) [i]