Information on Result #546518
There is no linear OA(2241, 252, F2, 122) (dual of [252, 11, 123]-code), because residual code would yield linear OA(2119, 129, F2, 61) (dual of [129, 10, 62]-code), but
- discarding factors / shortening the dual code would yield linear OA(2119, 128, F2, 61) (dual of [128, 9, 62]-code), but
- 1 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
- 1 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.