MinT - Information on Result #944689

Information on Result #944689

Linear OOA(8¹⁷, 4105, F₈, 3, 5) (dual of [(4105, 3), 12298, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(8¹⁷, 4106, F₈, 2, 5) (dual of [(4106, 2), 8195, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³, 73, F₈, 2, 2) (dual of [(73, 2), 143, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(8³, 73, F₈, 2) (dual of [73, 70, 3]-code), using
    - Hamming code H(3,8) [i]
2. linear OOA(8¹⁴, 4033, F₈, 2, 5) (dual of [(4033, 2), 8052, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(8¹⁴, 8066, F₈, 5) (dual of [8066, 8052, 6]-code), using
    - trace code [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 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(8⁹¹, 5596507, F₈, 3, 10) (dual of [(5596507, 3), 16789430, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(8⁹⁹, 5596507, F₈, 3, 11) (dual of [(5596507, 3), 16789422, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs