MinT - Information on Result #981935

Information on Result #981935

Linear OOA(8¹⁰⁵, 55, F₈, 3, 55) (dual of [(55, 3), 60, 56]-NRT-code), using OOA 2-folding based on linear OOA(8¹⁰⁵, 110, F₈, 2, 55) (dual of [(110, 2), 115, 56]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁶, 45, F₈, 2, 27) (dual of [(45, 2), 54, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,62P) [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(8⁶⁹, 65, F₈, 2, 55) (dual of [(65, 2), 61, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,74P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [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.