MinT - Information on Result #944690

Information on Result #944690

Linear OOA(8¹⁸, 4617, F₈, 3, 5) (dual of [(4617, 3), 13833, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(8¹⁸, 4618, F₈, 2, 5) (dual of [(4618, 2), 9218, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8⁴, 585, F₈, 2, 2) (dual of [(585, 2), 1166, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(8⁴, 585, F₈, 2) (dual of [585, 581, 3]-code), using
    - Hamming code H(4,8) [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(8⁹², 5597019, F₈, 3, 10) (dual of [(5597019, 3), 16790965, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(8¹⁰⁰, 5597019, F₈, 3, 11) (dual of [(5597019, 3), 16790957, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs