MinT - Information on Result #2225137

Information on Result #2225137

Linear OA(2²³¹, 245, F₂, 108) (dual of [245, 14, 109]-code), using 1 times truncation based on linear OA(2²³², 246, F₂, 109) (dual of [246, 14, 110]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁷⁵, 82, F₄, 54) (dual of [82, 7, 55]-code), using
  - 1 times truncation [i] based on linear OA(4⁷⁶, 83, F₄, 55) (dual of [83, 7, 56]-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(2²³¹, 122, F₂, 2, 108) (dual of [(122, 2), 13, 109]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²³¹, 49, F₂, 5, 108) (dual of [(49, 5), 14, 109]-NRT-code)	[i]		OOA Folding