MinT - Information on Result #663436

Information on Result #663436

Linear OA(8⁴³, 49, F₈, 34) (dual of [49, 6, 35]-code), using generalized (u,Â u+v)-construction based on

linear OA(8⁴, 7, F₈, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(8⁴, 8, F₈, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
  - Reedâ€“Solomon code RS(4,8) [i]
linear OA(8⁵, 7, F₈, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(8⁵, 8, F₈, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
  - Reedâ€“Solomon code RS(3,8) [i]
linear OA(8⁶, 7, F₈, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,8)), using
- dual of repetition code with length 7 [i]
linear OA(8⁷, 7, F₈, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)), using
- complete OA / dual of code with only one code word [i]
linear OA(8⁷, 7, F₈, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)
linear OA(8⁷, 7, F₈, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)
linear OA(8⁷, 7, F₈, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(8⁹¹, 96, F₈, 69) (dual of [96, 5, 70]-code)	[i]		Repeating Each Code Word
2	Linear OA(8¹³⁹, 144, F₈, 104) (dual of [144, 5, 105]-code)	[i]		Repeating Each Code Word