MinT - Information on Result #661643

Information on Result #661643

Linear OA(8¹³⁴, 138, F₈, 117) (dual of [138, 4, 118]-code), using juxtaposition based on

linear OA(8⁵⁹, 63, F₈, 53) (dual of [63, 4, 54]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63Â = 8²âˆ’1, defining interval IÂ =Â [1,53], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 54 [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(8¹³⁴, 69, F₈, 2, 117) (dual of [(69, 2), 4, 118]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹³⁴, 46, F₈, 3, 117) (dual of [(46, 3), 4, 118]-NRT-code)	[i]		OOA Folding