MinT - Information on Result #585339

Information on Result #585339

There is no linear OOA(2⁶⁹, 71, F₂, 5, 38) (dual of [(71, 5), 286, 39]-NRT-code), because 3 times depth reduction would yield linear OOA(2⁶⁹, 71, F₂, 2, 38) (dual of [(71, 2), 73, 39]-NRT-code), but

6 step m-reduction [i] would yield linear OA(2⁶³, 71, F₂, 32) (dual of [71, 8, 33]-code), but
- residual code [i] would yield linear OA(2³¹, 38, F₂, 16) (dual of [38, 7, 17]-code), but
  - residual code [i] would yield linear OA(2¹⁵, 21, F₂, 8) (dual of [21, 6, 9]-code), but
    - residual code [i] would yield linear OA(2⁷, 12, F₂, 4) (dual of [12, 5, 5]-code), but
      - bound by Fontaine and Peterson [i]

Mode: Bound (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.