MinT - Information on Result #1234919

Information on Result #1234919

Linear OOA(2⁴⁶, 32766, F₂, 4, 6) (dual of [(32766, 4), 131018, 7]-NRT-code), using extracting embedded OOA based on digital (40, 46, 32766)-net over F₂, using

1 times m-reduction [i] based on digital (40, 47, 32766)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2⁴⁷, 32766, F₂, 7, 7) (dual of [(32766, 7), 229315, 8]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2⁴⁷, 32767, F₂, 3, 7) (dual of [(32767, 3), 98254, 8]-NRT-code), using
    - OOAs constructed from BCH codes [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2⁴⁸, 32766, F₂, 4, 6) (dual of [(32766, 4), 131016, 7]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁸⁴, 2129916, F₂, 4, 12) (dual of [(2129916, 4), 8519480, 13]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(2¹⁸⁶, 2129917, F₂, 4, 12) (dual of [(2129917, 4), 8519482, 13]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁵, 2129916, F₂, 4, 13) (dual of [(2129916, 4), 8519479, 14]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁷, 2129917, F₂, 4, 13) (dual of [(2129917, 4), 8519481, 14]-NRT-code)	[i]