Information on Result #578994
There is no linear OOA(2110, 117, F2, 4, 57) (dual of [(117, 4), 358, 58]-NRT-code), because 2 times depth reduction would yield linear OOA(2110, 117, F2, 2, 57) (dual of [(117, 2), 124, 58]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(2109, 117, F2, 56) (dual of [117, 8, 57]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2110, 118, F2, 56) (dual of [118, 8, 57]-code), but
- adding a parity check bit [i] would yield linear OA(2111, 119, F2, 57) (dual of [119, 8, 58]-code), but
- “DMa†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(2111, 119, F2, 57) (dual of [119, 8, 58]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2110, 118, F2, 56) (dual of [118, 8, 57]-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.