Information on Result #585832
There is no linear OOA(2138, 144, F2, 5, 71) (dual of [(144, 5), 582, 72]-NRT-code), because 3 times depth reduction would yield linear OOA(2138, 144, F2, 2, 71) (dual of [(144, 2), 150, 72]-NRT-code), but
- 3 step m-reduction [i] would yield linear OA(2135, 144, F2, 68) (dual of [144, 9, 69]-code), but
- residual code [i] would yield linear OA(267, 75, F2, 34) (dual of [75, 8, 35]-code), but
- adding a parity check bit [i] would yield linear OA(268, 76, F2, 35) (dual of [76, 8, 36]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(268, 76, F2, 35) (dual of [76, 8, 36]-code), but
- residual code [i] would yield linear OA(267, 75, F2, 34) (dual of [75, 8, 35]-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.