Information on Result #1122624

Linear OOA(2257, 55, F2, 5, 176) (dual of [(55, 5), 18, 177]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,71P) based on
  1. linear OOA(2204, 41, F2, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2187, 41, F2, 5, 133) (dual of [(41, 5), 18, 134]-NRT-code), using algebraic-geometric NRT-code AG(5;F,71P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(253, 14, F2, 5, 42) (dual of [(14, 5), 17, 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(2257, 55, F2, 5, 175) (dual of [(55, 5), 18, 176]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2257, 55, F2, 5, 174) (dual of [(55, 5), 18, 175]-NRT-code) [i]
3Linear OOA(2257, 55, F2, 5, 173) (dual of [(55, 5), 18, 174]-NRT-code) [i]
4Linear OOA(2257, 55, F2, 5, 172) (dual of [(55, 5), 18, 173]-NRT-code) [i]
5Linear OOA(2257, 55, F2, 5, 171) (dual of [(55, 5), 18, 172]-NRT-code) [i]
6Linear OOA(2257, 55, F2, 5, 170) (dual of [(55, 5), 18, 171]-NRT-code) [i]