MinT - Information on Result #944748

Information on Result #944748

Linear OOA(9¹⁹, 12961, F₉, 3, 5) (dual of [(12961, 3), 38864, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(9¹⁹, 12962, F₉, 2, 5) (dual of [(12962, 2), 25905, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9⁵, 7381, F₉, 2, 2) (dual of [(7381, 2), 14757, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(9⁵, 7381, F₉, 2) (dual of [7381, 7376, 3]-code), using
    - Hamming code H(5,9) [i]
2. linear OOA(9¹⁴, 6481, F₉, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(9¹⁴, 12962, F₉, 5) (dual of [12962, 12948, 6]-code), using
    - trace code [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
      - a code by Danev and Olsson [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9⁹³, 5605363, F₉, 3, 10) (dual of [(5605363, 3), 16815996, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(9¹⁰¹, 5605363, F₉, 3, 11) (dual of [(5605363, 3), 16815988, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs