MinT - Information on Result #1234921

Information on Result #1234921

Linear OOA(2⁵⁵, 262142, F₂, 4, 6) (dual of [(262142, 4), 1048513, 7]-NRT-code), using extracting embedded OOA based on digital (49, 55, 262142)-net over F₂, using

1 times m-reduction [i] based on digital (49, 56, 262142)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2⁵⁶, 262142, F₂, 7, 7) (dual of [(262142, 7), 1834938, 8]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2⁵⁶, 262143, F₂, 3, 7) (dual of [(262143, 3), 786373, 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(2⁵⁷, 262142, F₂, 4, 6) (dual of [(262142, 4), 1048511, 7]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁹³, 2359292, F₂, 4, 12) (dual of [(2359292, 4), 9436975, 13]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(2¹⁹⁵, 2359293, F₂, 4, 12) (dual of [(2359293, 4), 9436977, 13]-NRT-code)	[i]
4	Linear OOA(2¹⁹⁴, 2359292, F₂, 4, 13) (dual of [(2359292, 4), 9436974, 14]-NRT-code)	[i]
5	Linear OOA(2¹⁹⁶, 2359293, F₂, 4, 13) (dual of [(2359293, 4), 9436976, 14]-NRT-code)	[i]