MinT - Information on Result #1487474

Information on Result #1487474

Linear OOA(7⁶⁹, 275, F₇, 3, 24) (dual of [(275, 3), 756, 25]-NRT-code), using OOA 2-folding based on linear OOA(7⁶⁹, 550, F₇, 2, 24) (dual of [(550, 2), 1031, 25]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(7⁶⁹, 551, F₇, 2, 24) (dual of [(551, 2), 1033, 25]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(7⁶⁹, 551, F₇, 24) (dual of [551, 482, 25]-code), using
  - 481 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 20 times 0, 1, 23 times 0, 1, 24 times 0, 1, 27 times 0, 1, 29 times 0, 1, 32 times 0, 1, 35 times 0, 1, 38 times 0, 1, 42 times 0) [i] based on linear OA(7²⁴, 25, F₇, 24) (dual of [25, 1, 25]-code or 25-arc in PG(23,7)), using
    - dual of repetition code with length 25 [i]

Mode: 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.