MinT - Information on Result #566048

Information on Result #566048

There is no linear OOA(2¹¹³, 123, F₂, 3, 57) (dual of [(123, 3), 256, 58]-NRT-code), because 1 times depth reduction would yield linear OOA(2¹¹³, 123, F₂, 2, 57) (dual of [(123, 2), 133, 58]-NRT-code), but

1 step m-reduction [i] would yield linear OA(2¹¹², 123, F₂, 56) (dual of [123, 11, 57]-code), but
- residual code [i] would yield linear OA(2⁵⁶, 66, F₂, 28) (dual of [66, 10, 29]-code), but
  - adding a parity check bit [i] would yield linear OA(2⁵⁷, 67, F₂, 29) (dual of [67, 10, 30]-code), but
    - â€œJaâ€ bound on codes from Brouwerâ€™s database [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.