MinT - Information on Result #2181953

Information on Result #2181953

Linear OA(2¹⁷⁸, 186, F₂, 90) (dual of [186, 8, 91]-code), using strength reduction based on linear OA(2¹⁷⁸, 186, F₂, 91) (dual of [186, 8, 92]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁵⁸, 62, F₄, 45) (dual of [62, 4, 46]-code), using
  - 2 times truncation [i] based on linear OA(4⁶⁰, 64, F₄, 47) (dual of [64, 4, 48]-code), using
    - a code of Belov type defined by PG(3,4) ∖ PG(2,4) [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: 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(2¹⁷⁸, 93, F₂, 2, 90) (dual of [(93, 2), 8, 91]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁷⁸, 62, F₂, 3, 90) (dual of [(62, 3), 8, 91]-NRT-code)	[i]		OOA Folding