MinT - Information on Result #1235437

Information on Result #1235437

Linear OOA(2⁴³, 16382, F₂, 7, 6) (dual of [(16382, 7), 114631, 7]-NRT-code), using appending 1 arbitrary column based on linear OOA(2⁴³, 16382, F₂, 6, 6) (dual of [(16382, 6), 98249, 7]-NRT-code), using

appending kth column [i] based on linear OOA(2⁴³, 16382, F₂, 5, 6) (dual of [(16382, 5), 81867, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (37, 43, 16382)-net over F₂, using
  - 1 times m-reduction [i] based on digital (37, 44, 16382)-net over F₂, using
    - net defined by OOA [i] based on linear OOA(2⁴⁴, 16382, F₂, 7, 7) (dual of [(16382, 7), 114630, 8]-NRT-code), using
      - OOA stacking with additional row [i] based on linear OOA(2⁴⁴, 16383, F₂, 3, 7) (dual of [(16383, 3), 49105, 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(2⁴⁵, 16382, F₂, 7, 6) (dual of [(16382, 7), 114629, 7]-NRT-code)	[i]		OOA Duplication