MinT - Information on Result #2224889

Information on Result #2224889

Linear OA(2²²², 236, F₂, 104) (dual of [236, 14, 105]-code), using 1 times truncation based on linear OA(2²²³, 237, F₂, 105) (dual of [237, 14, 106]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁷², 79, F₄, 52) (dual of [79, 7, 53]-code), using
  - 1 times truncation [i] based on linear OA(4⁷³, 80, F₄, 53) (dual of [80, 7, 54]-code), using
    - a code by Kohnert and Zwanzger [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(2²²², 118, F₂, 2, 104) (dual of [(118, 2), 14, 105]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²²², 47, F₂, 5, 104) (dual of [(47, 5), 13, 105]-NRT-code)	[i]		OOA Folding