MinT - Information on Result #2416842

Information on Result #2416842

Linear OOA(2⁴⁶, 25, F₂, 2, 30) (dual of [(25, 2), 4, 31]-NRT-code), using strength reduction based on linear OOA(2⁴⁶, 25, F₂, 2, 31) (dual of [(25, 2), 4, 32]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(2,4) [i]
2. linear OOA(2⁸, 5, F₂, 2, 7) (dual of [(5, 2), 2, 8]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,2P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]

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.