MinT - Information on Result #2231018

Information on Result #2231018

Linear OA(3²¹⁰, 218, F₃, 134) (dual of [218, 8, 135]-code), using 2 times truncation based on linear OA(3²¹², 220, F₃, 136) (dual of [220, 8, 137]-code), using

strength reduction [i] based on linear OA(3²¹², 220, F₃, 137) (dual of [220, 8, 138]-code), using
- concatenation of two codes [i] based on
  1. linear OA(9⁵¹, 55, F₉, 45) (dual of [55, 4, 46]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.