MinT - Information on Result #548425

Information on Result #548425

There is no linear OA(2²⁴⁴, 254, F₂, 124) (dual of [254, 10, 125]-code), because residual code would yield linear OA(2¹²⁰, 129, F₂, 62) (dual of [129, 9, 63]-code), but

2 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
    - â€œDHMâ€ 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	No linear OA(2²⁴⁵, 255, F₂, 125) (dual of [255, 10, 126]-code)	[i]		Truncation
2	No linear OA(2²⁴⁷, 257, F₂, 127) (dual of [257, 10, 128]-code)	[i]		Truncation