Information on Result #580528
There is no linear OOA(2227, 215, F2, 4, 125) (dual of [(215, 4), 633, 126]-NRT-code), because 2 times depth reduction would yield linear OOA(2227, 215, F2, 2, 125) (dual of [(215, 2), 203, 126]-NRT-code), but
- 21 step m-reduction [i] would yield linear OA(2206, 215, F2, 104) (dual of [215, 9, 105]-code), but
- residual code [i] would yield linear OA(2102, 110, F2, 52) (dual of [110, 8, 53]-code), but
- residual code [i] would yield linear OA(250, 57, F2, 26) (dual of [57, 7, 27]-code), but
- adding a parity check bit [i] would yield linear OA(251, 58, F2, 27) (dual of [58, 7, 28]-code), but
- “vT3†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(251, 58, F2, 27) (dual of [58, 7, 28]-code), but
- residual code [i] would yield linear OA(250, 57, F2, 26) (dual of [57, 7, 27]-code), but
- residual code [i] would yield linear OA(2102, 110, F2, 52) (dual of [110, 8, 53]-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.