MinT - Information on Result #629420

Information on Result #629420

Linear OA(2¹⁷², 180, F₂, 87) (dual of [180, 8, 88]-code), using concatenation of two codes based on

linear OA(4⁵⁶, 60, F₄, 43) (dual of [60, 4, 44]-code), using
- 4 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]
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(2¹⁷², 60, F₂, 3, 87) (dual of [(60, 3), 8, 88]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁷², 36, F₂, 5, 87) (dual of [(36, 5), 8, 88]-NRT-code)	[i]		OOA Folding