MinT - Information on Result #1833898

Information on Result #1833898

OOA(8²³, 65865, S₈, 3, 5), using OOA stacking with additional row based on OOA(8²³, 65866, S₈, 2, 5), 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. OOA(8¹⁹, 65281, S₈, 2, 5), using
  - OOA 2-folding [i] based on OA(8¹⁹, 130562, S₈, 5), using
    - discarding parts of the base [i] based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
      - trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]

Mode: Constructive.

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	OOA(8⁹⁷, 5658267, S₈, 3, 10)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(8¹⁰⁵, 5658267, S₈, 3, 11)	[i]		(u,Â u+v)-Construction for OOAs