MinT - Information on Result #2219829

Information on Result #2219829

Linear OA(2⁵⁵, 77, F₂, 22) (dual of [77, 22, 23]-code), using 1 times truncation based on linear OA(2⁵⁶, 78, F₂, 23) (dual of [78, 22, 24]-code), using

concatenation of two codes [i] based on
1. linear OA(4¹⁵, 26, F₄, 11) (dual of [26, 11, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹⁵, 30, F₄, 11) (dual of [30, 15, 12]-code), using
    - extended quadratic residue code Q_e(30,4) [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(2⁵⁵, 38, F₂, 2, 22) (dual of [(38, 2), 21, 23]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2⁵⁵, 25, F₂, 3, 22) (dual of [(25, 3), 20, 23]-NRT-code)	[i]		OOA Folding