MinT - Information on Result #553377

Information on Result #553377

There is no linear OOA(2¹⁹⁴, 202, F₂, 2, 98) (dual of [(202, 2), 210, 99]-NRT-code), because 2 step m-reduction would yield linear OA(2¹⁹², 202, F₂, 96) (dual of [202, 10, 97]-code), but

residual code [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
    - â€œBJVâ€ bound on codes from Brouwerâ€™s database [i]

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

The following results depend on this result:

	Result		Method
1	No linear OOA(2¹⁹⁴, 202, F₂, 3, 98) (dual of [(202, 3), 412, 99]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2¹⁹⁴, 202, F₂, 4, 98) (dual of [(202, 4), 614, 99]-NRT-code)	[i]
3	No linear OOA(2¹⁹⁴, 202, F₂, 5, 98) (dual of [(202, 5), 816, 99]-NRT-code)	[i]
4	No linear OOA(2¹⁹⁴, 202, F₂, 6, 98) (dual of [(202, 6), 1018, 99]-NRT-code)	[i]
5	No linear OOA(2¹⁹⁴, 202, F₂, 7, 98) (dual of [(202, 7), 1220, 99]-NRT-code)	[i]
6	No linear OOA(2¹⁹⁴, 202, F₂, 8, 98) (dual of [(202, 8), 1422, 99]-NRT-code)	[i]