MinT - Information on Result #1235553

Information on Result #1235553

Linear OOA(2¹⁵², 4194346, F₂, 8, 10) (dual of [(4194346, 8), 33554616, 11]-NRT-code), using extracting embedded OOA based on digital (142, 152, 4194346)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (8, 13, 45)-net over F₂, using
  - linear code embedding found in a computer search [i]
2. digital (129, 139, 4194301)-net over F₂, using
  - 1 times m-reduction [i] based on digital (129, 140, 4194301)-net over F₂, using
    - net defined by OOA [i] based on linear OOA(2¹⁴⁰, 4194301, F₂, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
      - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), 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

None.