MinT - Information on Result #1235529

Information on Result #1235529

Linear OOA(2⁶⁴, 2097150, F₂, 8, 6) (dual of [(2097150, 8), 16777136, 7]-NRT-code), using appending 2 arbitrary columns based on linear OOA(2⁶⁴, 2097150, F₂, 6, 6) (dual of [(2097150, 6), 12582836, 7]-NRT-code), using

appending kth column [i] based on linear OOA(2⁶⁴, 2097150, F₂, 5, 6) (dual of [(2097150, 5), 10485686, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (58, 64, 2097150)-net over F₂, using
  - 1 times m-reduction [i] based on digital (58, 65, 2097150)-net over F₂, using
    - net defined by OOA [i] based on linear OOA(2⁶⁵, 2097150, F₂, 7, 7) (dual of [(2097150, 7), 14679985, 8]-NRT-code), using
      - OOA stacking with additional row [i] based on linear OOA(2⁶⁵, 2097151, F₂, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
        OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m 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(2⁶⁶, 2097150, F₂, 8, 6) (dual of [(2097150, 8), 16777134, 7]-NRT-code)	[i]		OOA Duplication