MinT - Information on Result #944747

Information on Result #944747

Linear OOA(9¹⁸, 7300, F₉, 3, 5) (dual of [(7300, 3), 21882, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(9¹⁸, 7301, F₉, 2, 5) (dual of [(7301, 2), 14584, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9⁴, 820, F₉, 2, 2) (dual of [(820, 2), 1636, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(9⁴, 820, F₉, 2) (dual of [820, 816, 3]-code), using
    - Hamming code H(4,9) [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(9⁹², 5599702, F₉, 3, 10) (dual of [(5599702, 3), 16799014, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(9¹⁰⁰, 5599702, F₉, 3, 11) (dual of [(5599702, 3), 16799006, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs