MinT - Information on Result #976836

Information on Result #976836

Linear OOA(7²⁷, 10, F₇, 3, 23) (dual of [(10, 3), 3, 24]-NRT-code), using OOA 3-folding based on linear OA(7²⁷, 30, F₇, 23) (dual of [30, 3, 24]-code), using

6 times truncation [i] based on linear OA(7³³, 36, F₇, 29) (dual of [36, 3, 30]-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OA(7⁴, 6, F₇, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
    - discarding factors / shortening the dual code based on linear OA(7⁴, 7, F₇, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
      - Reedâ€“Solomon code RS(3,7) [i]
  2. linear OA(7⁵, 6, F₇, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,7)), using
    - dual of repetition code with length 6 [i]
  3. linear OA(7⁶, 6, F₇, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)), using
    - complete OA / dual of code with only one code word [i]
  4. linear OA(7⁶, 6, F₇, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)) (see above)
  5. linear OA(7⁶, 6, F₇, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)) (see above)
  6. linear OA(7⁶, 6, F₇, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)) (see above)

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.