MinT - Information on Result #661627

Information on Result #661627

Linear OA(8¹⁵⁵, 159, F₈, 133) (dual of [159, 4, 134]-code), using juxtaposition based on

linear OA(8⁵, 9, F₈, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reedâ€“Solomon code RS_e(4,8) [i]
linear OA(8¹⁴⁶, 150, F₈, 127) (dual of [150, 4, 128]-code), using
- repeating each code word 2 times [i] based on 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 OA(8¹⁵⁵, 159, F₈, 132) (dual of [159, 4, 133]-code)	[i]		Strength Reduction
2	Linear OOA(8¹⁵⁵, 53, F₈, 3, 133) (dual of [(53, 3), 4, 134]-NRT-code)	[i]		OOA Folding