MinT - Information on Result #2194286

Information on Result #2194286

Linear OA(3¹⁷⁰, 180, F₃, 103) (dual of [180, 10, 104]-code), using strength reduction based on linear OA(3¹⁷⁰, 180, F₃, 104) (dual of [180, 10, 105]-code), using

concatenation of two codes [i] based on
1. linear OA(9⁴⁰, 45, F₉, 34) (dual of [45, 5, 35]-code), using
  - 3 times truncation [i] based on linear OA(9⁴³, 48, F₉, 37) (dual of [48, 5, 38]-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		Method
1	Linear OOA(3¹⁷⁰, 90, F₃, 2, 103) (dual of [(90, 2), 10, 104]-NRT-code)	[i]	OOA Folding
2	Linear OOA(3¹⁷⁰, 60, F₃, 3, 103) (dual of [(60, 3), 10, 104]-NRT-code)	[i]
3	Linear OOA(3¹⁷⁰, 36, F₃, 5, 103) (dual of [(36, 5), 10, 104]-NRT-code)	[i]