MinT - Information on Result #944625

Information on Result #944625

Linear OOA(7¹⁷, 2409, F₇, 3, 5) (dual of [(2409, 3), 7210, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(7¹⁷, 2410, F₇, 2, 5) (dual of [(2410, 2), 4803, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(7³, 57, F₇, 2, 2) (dual of [(57, 2), 111, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(7³, 57, F₇, 2) (dual of [57, 54, 3]-code), using
    - Hamming code H(3,7) [i]
2. linear OOA(7¹⁴, 2353, F₇, 2, 5) (dual of [(2353, 2), 4692, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(7¹⁴, 4706, F₇, 5) (dual of [4706, 4692, 6]-code), using
    - trace code [i] based on linear OA(49⁷, 2353, F₄₉, 5) (dual of [2353, 2346, 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(7⁹¹, 3845611, F₇, 3, 10) (dual of [(3845611, 3), 11536742, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(7⁹⁹, 3845611, F₇, 3, 11) (dual of [(3845611, 3), 11536734, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs