MinT - Information on Result #2222576

Information on Result #2222576

Linear OA(2¹⁶⁵, 174, F₂, 82) (dual of [174, 9, 83]-code), using 1 times truncation based on linear OA(2¹⁶⁶, 175, F₂, 83) (dual of [175, 9, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(8²², 25, F₈, 20) (dual of [25, 3, 21]-code), using
  - 3 times truncation [i] based on linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
    - Denniston code D(2,8) [i]
2. linear OA(2⁴, 7, F₂, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
  - Simplex code S(3,2) [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(2¹⁶⁵, 87, F₂, 2, 82) (dual of [(87, 2), 9, 83]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁶⁵, 58, F₂, 3, 82) (dual of [(58, 3), 9, 83]-NRT-code)	[i]		OOA Folding