MinT - Information on Result #2775200

Information on Result #2775200

Linear OOA(3²¹⁷, 76, F₃, 4, 104) (dual of [(76, 4), 87, 105]-NRT-code), using strength reduction based on linear OOA(3²¹⁷, 76, F₃, 4, 105) (dual of [(76, 4), 87, 106]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁶⁷, 28, F₃, 4, 52) (dual of [(28, 4), 45, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,59P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵⁰, 48, F₃, 4, 105) (dual of [(48, 4), 42, 106]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,86P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, 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.