MinT - Information on Result #2871775

Information on Result #2871775

Linear OOA(2²⁵⁴, 84, F₂, 5, 96) (dual of [(84, 5), 166, 97]-NRT-code), using 2² times duplication based on linear OOA(2²⁵², 84, F₂, 5, 96) (dual of [(84, 5), 168, 97]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁰², 42, F₂, 5, 48) (dual of [(42, 5), 108, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,161P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁰, 42, F₂, 5, 96) (dual of [(42, 5), 60, 97]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,113P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)

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

None.