Information on Result #586089
There is no linear OOA(2156, 159, F2, 5, 82) (dual of [(159, 5), 639, 83]-NRT-code), because 3 times depth reduction would yield linear OOA(2156, 159, F2, 2, 82) (dual of [(159, 2), 162, 83]-NRT-code), but
- 6 step m-reduction [i] would yield linear OA(2150, 159, F2, 76) (dual of [159, 9, 77]-code), but
- residual code [i] would yield linear OA(274, 82, F2, 38) (dual of [82, 8, 39]-code), but
- adding a parity check bit [i] would yield linear OA(275, 83, F2, 39) (dual of [83, 8, 40]-code), but
- “DHM†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(275, 83, F2, 39) (dual of [83, 8, 40]-code), but
- residual code [i] would yield linear OA(274, 82, F2, 38) (dual of [82, 8, 39]-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.