MinT - Information on Result #1190971

Information on Result #1190971

Linear OOA(8¹⁸, 4617, F₈, 6, 5) (dual of [(4617, 6), 27684, 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.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (13, 18, 4617)-net over F₈	[i]		Net Defined by OOA