MinT - Information on Result #1842192

Information on Result #1842192

(166, 176, 4325382)-net in base 2, using (u,Â u+v)-construction based on

(32, 37, 131081)-net in base 2, using
- net defined by OOA [i] based on OOA(2³⁷, 131081, S₂, 5, 5), using
  - OOA 2-folding and stacking with additional row [i] based on OA(2³⁷, 262163, S₂, 5), using
    - constructionÂ X4 applied to RM(1,18) âŠ‚ K(18) [i] based on
      1. OA(2³⁶, 262144, S₂, 5), using Kerdock OA K(18) [i]
      2. linear OA(2¹⁹, 262144, F₂, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,2)), using Reedâ€“Muller code RM(1,18) [i]
      3. linear OA(2¹⁸, 19, F₂, 17) (dual of [19, 1, 18]-code), using
        strength reduction [i] based on linear OA(2¹⁸, 19, F₂, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
        dual of repetition code with length 19 [i]
      4. linear OA(2¹, 19, F₂, 1) (dual of [19, 18, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
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]

None.

None.