MinT - Information on Result #801581

Information on Result #801581

Linear OA(7⁵⁹, 63, F₇, 50) (dual of [63, 4, 51]-code), using juxtaposition based on

linear OA(7⁹, 13, F₇, 8) (dual of [13, 4, 9]-code), using
- extracting embedded orthogonal array [i] based on digital (1, 9, 13)-net over F₇, using
  - 4 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
    - a shift-net [i]
linear OA(7⁴⁶, 50, F₇, 41) (dual of [50, 4, 42]-code), using
- projective code from ovoid in PG(3,Â 7) [i]

Mode: Constructive and 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	Linear OA(7⁵⁷, 61, F₇, 48) (dual of [61, 4, 49]-code)	[i]		Truncation
2	Linear OA(7⁵⁵, 59, F₇, 46) (dual of [59, 4, 47]-code)	[i]
3	Linear OA(7⁴⁹, 53, F₇, 40) (dual of [53, 4, 41]-code)	[i]
4	Linear OA(7⁴⁸, 52, F₇, 39) (dual of [52, 4, 40]-code)	[i]
5	Linear OA(7⁴⁷, 51, F₇, 38) (dual of [51, 4, 39]-code)	[i]
6	Linear OA(7⁴⁵, 49, F₇, 36) (dual of [49, 4, 37]-code)	[i]
7	Linear OOA(7⁵⁹, 31, F₇, 2, 50) (dual of [(31, 2), 3, 51]-NRT-code)	[i]		OOA Folding
8	Linear OOA(7⁵⁹, 21, F₇, 3, 50) (dual of [(21, 3), 4, 51]-NRT-code)	[i]		OOA Folding