MinT - Information on Result #1102462

Information on Result #1102462

Linear OOA(3⁶⁷, 21, F₃, 5, 31) (dual of [(21, 5), 38, 32]-NRT-code), using OOA 2-folding based on linear OOA(3⁶⁷, 42, F₃, 3, 31) (dual of [(42, 3), 59, 32]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3²¹, 14, F₃, 3, 15) (dual of [(14, 3), 21, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁴⁶, 28, F₃, 3, 31) (dual of [(28, 3), 38, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,52P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.