MinT - Information on Result #2623348

Information on Result #2623348

Linear OOA(3¹⁵², 60, F₃, 3, 90) (dual of [(60, 3), 28, 91]-NRT-code), using strength reduction based on linear OOA(3¹⁵², 60, F₃, 3, 92) (dual of [(60, 3), 28, 93]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9³¹, 15, F₉, 3, 30) (dual of [(15, 3), 14, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9³¹, 16, F₉, 3, 30) (dual of [(16, 3), 17, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
  - extended Reedâ€“Solomon code RS_e(2,3) [i]
  - Hamming code H(2,3) [i]
  - Simplex code S(2,3) [i]
  - the Tetracode [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.