MinT - Information on Result #2230938

Information on Result #2230938

Linear OA(3²¹⁰, 218, F₃, 135) (dual of [218, 8, 136]-code), using 2 times truncation 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3²¹³, 221, F₃, 135) (dual of [221, 8, 136]-code)	[i]		Code Embedding in Larger Space
2	Linear OOA(3²¹⁰, 109, F₃, 2, 135) (dual of [(109, 2), 8, 136]-NRT-code)	[i]		OOA Folding