MinT - Information on Result #630695

Information on Result #630695

Linear OA(3³⁷, 51, F₃, 19) (dual of [51, 14, 20]-code), using concatenation of two codes based on

linear OA(9¹⁰, 17, F₉, 9) (dual of [17, 7, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code), using
  - extended quadratic residue code Q_e(20,9) [i]
linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [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(3³⁷, 25, F₃, 2, 19) (dual of [(25, 2), 13, 20]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3³⁷, 17, F₃, 3, 19) (dual of [(17, 3), 14, 20]-NRT-code)	[i]		OOA Folding