MinT - Information on Result #2296332

Information on Result #2296332

Linear OA(2¹⁹², 210, F₂, 86) (dual of [210, 18, 87]-code), using strength reduction based on linear OA(2¹⁹², 210, F₂, 87) (dual of [210, 18, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁶¹, 70, F₄, 43) (dual of [70, 9, 44]-code), using
  - a â€œDaHâ€ code from Brouwerâ€™s database [i]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: 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(2¹⁹¹, 209, F₂, 85) (dual of [209, 18, 86]-code)	[i]		Truncation
2	Linear OA(2¹⁹⁰, 208, F₂, 84) (dual of [208, 18, 85]-code)	[i]		Truncation