MinT - Information on Result #565476

Information on Result #565476

There is no linear OOA(2³⁴, 38, F₂, 3, 19) (dual of [(38, 3), 80, 20]-NRT-code), because 1 times depth reduction would yield linear OOA(2³⁴, 38, F₂, 2, 19) (dual of [(38, 2), 42, 20]-NRT-code), but

3 step m-reduction [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.