MinT - Information on Result #2475004

Information on Result #2475004

Linear OOA(7⁷³, 38, F₇, 2, 64) (dual of [(38, 2), 3, 65]-NRT-code), using 6 step truncation based on linear OOA(7⁷⁹, 41, F₇, 2, 70) (dual of [(41, 2), 3, 71]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7¹³, 8, F₇, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,7) [i]
2. linear OOA(7⁶³, 33, F₇, 2, 56) (dual of [(33, 2), 3, 57]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(7¹³, 8, F₇, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code) (see above)
    2. linear OOA(7⁴⁷, 25, F₇, 2, 42) (dual of [(25, 2), 3, 43]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(7¹³, 8, F₇, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code) (see above)
        linear OOA(7³¹, 17, F₇, 2, 28) (dual of [(17, 2), 3, 29]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(7¹³, 8, F₇, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code) (see above)
        linear OOA(7¹⁵, 9, F₇, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 15, 9)-net over F₇, using
        net from sequence [i] based on digital (1, 8)-sequence over F₇, using
        Niederreiter sequence [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.