Information on Result #593277
There is no linear OOA(2199, 205, F2, 6, 102) (dual of [(205, 6), 1031, 103]-NRT-code), because 4 times depth reduction would yield linear OOA(2199, 205, F2, 2, 102) (dual of [(205, 2), 211, 103]-NRT-code), but
- 4 step m-reduction [i] would yield linear OA(2195, 205, F2, 98) (dual of [205, 10, 99]-code), but
- residual code [i] would yield linear OA(297, 106, F2, 49) (dual of [106, 9, 50]-code), but
- 1 times truncation [i] would yield linear OA(296, 105, F2, 48) (dual of [105, 9, 49]-code), but
- residual code [i] would yield linear OA(248, 56, F2, 24) (dual of [56, 8, 25]-code), but
- adding a parity check bit [i] would yield linear OA(249, 57, F2, 25) (dual of [57, 8, 26]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(249, 57, F2, 25) (dual of [57, 8, 26]-code), but
- residual code [i] would yield linear OA(248, 56, F2, 24) (dual of [56, 8, 25]-code), but
- 1 times truncation [i] would yield linear OA(296, 105, F2, 48) (dual of [105, 9, 49]-code), but
- residual code [i] would yield linear OA(297, 106, F2, 49) (dual of [106, 9, 50]-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.