MinT - Information on Result #641773

Information on Result #641773

Linear OA(9⁹², 96, F₉, 79) (dual of [96, 4, 80]-code), using juxtaposition based on

linear OA(9³, 7, F₉, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,9) or 7-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(9³, 9, F₉, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
  - Reedâ€“Solomon code RS(6,9) [i]
linear OA(9⁸⁵, 89, F₉, 75) (dual of [89, 4, 76]-code), using
- juxtaposition [i] based on
  1. linear OA(9³, 7, F₉, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,9) or 7-cap in PG(2,9)) (see above)
  2. linear OA(9⁷⁸, 82, F₉, 71) (dual of [82, 4, 72]-code), using
    - projective code from ovoid in PG(3,Â 9) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(9⁹⁹, 103, F₉, 83) (dual of [103, 4, 84]-code)	[i]		Juxtaposition
2	Linear OA(9¹⁰⁰, 104, F₉, 84) (dual of [104, 4, 85]-code)	[i]		Juxtaposition