MinT - Information on Result #738300

Information on Result #738300

Linear OA(8⁸⁹, 93, F₈, 76) (dual of [93, 4, 77]-code), using juxtaposition based on

linear OA(8¹⁴, 18, F₈, 12) (dual of [18, 4, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8¹⁴, 19, F₈, 12) (dual of [19, 5, 13]-code), using
  - 1 times truncation [i] based on linear OA(8¹⁵, 20, F₈, 13) (dual of [20, 5, 14]-code), using
    - generator matrices provided on Edelâ€™s homepage [i]
linear OA(8⁷¹, 75, F₈, 63) (dual of [75, 4, 64]-code), using
- constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [65,1,64]-code [i] based on
  1. linear OA(8⁶¹, 65, F₈, 55) (dual of [65, 4, 56]-code), using projective code from ovoid in PG(3,Â 8) [i]
  2. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
    - Denniston code D(1,8) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8⁸⁹, 31, F₈, 3, 76) (dual of [(31, 3), 4, 77]-NRT-code)	[i]		OOA Folding