Information on Result #2158142
There is no linear OA(2247, 257, F2, 127) (dual of [257, 10, 128]-code), because 3 times truncation would yield linear OA(2244, 254, F2, 124) (dual of [254, 10, 125]-code), but
- residual code [i] would yield linear OA(2120, 129, F2, 62) (dual of [129, 9, 63]-code), but
- 2 times truncation [i] would yield linear OA(2118, 127, F2, 60) (dual of [127, 9, 61]-code), but
- residual code [i] would yield linear OA(258, 66, F2, 30) (dual of [66, 8, 31]-code), but
- adding a parity check bit [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- “DHM†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- residual code [i] would yield linear OA(258, 66, F2, 30) (dual of [66, 8, 31]-code), but
- 2 times truncation [i] would yield linear OA(2118, 127, F2, 60) (dual of [127, 9, 61]-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.