Information on Result #566032
There is no linear OOA(2111, 112, F2, 3, 60) (dual of [(112, 3), 225, 61]-NRT-code), because 1 times depth reduction would yield linear OOA(2111, 112, F2, 2, 60) (dual of [(112, 2), 113, 61]-NRT-code), but
- 8 step m-reduction [i] would yield linear OA(2103, 112, F2, 52) (dual of [112, 9, 53]-code), but
- residual code [i] would yield linear OA(251, 59, F2, 26) (dual of [59, 8, 27]-code), but
- adding a parity check bit [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), but
- residual code [i] would yield linear OA(251, 59, F2, 26) (dual of [59, 8, 27]-code), but
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.