MinT - Information on Result #959283

Information on Result #959283

Linear OOA(3¹³⁶, 48, F₃, 3, 85) (dual of [(48, 3), 8, 86]-NRT-code), using OOA 3-folding based on linear OA(3¹³⁶, 144, F₃, 85) (dual of [144, 8, 86]-code), using

strength reduction [i] based on linear OA(3¹³⁶, 144, F₃, 86) (dual of [144, 8, 87]-code), using
- concatenation of two codes [i] based on
  1. linear OA(9³², 36, F₉, 28) (dual of [36, 4, 29]-code), using
    - 4 times truncation [i] based on linear OA(9³⁶, 40, F₉, 32) (dual of [40, 4, 33]-code), using
      - a quasi-cyclic code by Bierbrauer and Gulliver [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.