Information on Result #2156374
There is no linear OA(266, 77, F2, 33) (dual of [77, 11, 34]-code), because 1 times truncation would yield linear OA(265, 76, F2, 32) (dual of [76, 11, 33]-code), but
- construction Y1 [i] would yield
- linear OA(264, 72, F2, 32) (dual of [72, 8, 33]-code), but
- adding a parity check bit [i] would yield linear OA(265, 73, F2, 33) (dual of [73, 8, 34]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(265, 73, F2, 33) (dual of [73, 8, 34]-code), but
- OA(211, 76, S2, 4), but
- discarding factors would yield OA(211, 64, S2, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 2081 > 211 [i]
- discarding factors would yield OA(211, 64, S2, 4), but
- linear OA(264, 72, F2, 32) (dual of [72, 8, 33]-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.