MinT - Information on Result #1658716

Information on Result #1658716

Linear OOA(2⁵⁴, 131072, F₂, 6, 6) (dual of [(131072, 6), 786378, 7]-NRT-code), using appending kth column based on linear OOA(2⁵⁴, 131072, F₂, 5, 6) (dual of [(131072, 5), 655306, 7]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(2⁵⁴, 131072, F₂, 2, 6) (dual of [(131072, 2), 262090, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2⁵², 131071, F₂, 2, 6) (dual of [(131071, 2), 262090, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F₂, using
    - 1 times m-reduction [i] based on digital (46, 53, 131071)-net over F₂, using
      - nets constructed from net-embeddable BCH codes [i]

Mode: 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		Method
1	Linear OOA(2⁵⁴, 131072, F₂, 7, 6) (dual of [(131072, 7), 917450, 7]-NRT-code)	[i]	Appending Arbitrary Columns
2	Linear OOA(2⁵⁴, 131072, F₂, 8, 6) (dual of [(131072, 8), 1048522, 7]-NRT-code)	[i]	Appending Arbitrary Columns
3	Digital (48, 54, 131072)-net over F₂	[i]	Net Defined by OOA