MinT - Information on Result #874671

Information on Result #874671

Linear OOA(64⁵⁰, 121, F₆₄, 2, 29) (dual of [(121, 2), 192, 30]-NRT-code), using OOA 2-folding based on linear OA(64⁵⁰, 242, F₆₄, 29) (dual of [242, 192, 30]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(64¹⁴, 65, F₆₄, 14) (dual of [65, 51, 15]-code or 65-arc in PG(13,64)), using
  - extended Reedâ€“Solomon code RS_e(51,64) [i]
2. linear OA(64³⁶, 177, F₆₄, 29) (dual of [177, 141, 30]-code), using
  - extended algebraic-geometric code AG_e(F,147P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [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.