MinT - Information on Result #975781

Information on Result #975781

Linear OOA(7¹⁰, 10, F₇, 3, 6) (dual of [(10, 3), 20, 7]-NRT-code), using OOA 2-folding based on linear OOA(7¹⁰, 20, F₇, 2, 6) (dual of [(20, 2), 30, 7]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(7¹⁰, 21, F₇, 2, 6) (dual of [(21, 2), 32, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7³, 8, F₇, 2, 3) (dual of [(8, 2), 13, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;13,7) [i]
  2. linear OOA(7⁷, 13, F₇, 2, 6) (dual of [(13, 2), 19, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 7, 13)-net over F₇, using
      - 6 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
        a shift-net [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

None.