MinT - Information on Result #2189915

Information on Result #2189915

Linear OA(3³⁰, 36, F₃, 19) (dual of [36, 6, 20]-code), using strength reduction based on linear OA(3³⁰, 36, F₃, 20) (dual of [36, 6, 21]-code), using

concatenation of two codes [i] based on
1. linear OA(9⁶, 9, F₉, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), using
  - Reedâ€“Solomon code RS(3,9) [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 OOA(3³⁰, 18, F₃, 2, 19) (dual of [(18, 2), 6, 20]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3³⁰, 12, F₃, 3, 19) (dual of [(12, 3), 6, 20]-NRT-code)	[i]		OOA Folding