MinT - Information on Result #944553

Information on Result #944553

Linear OOA(5¹⁷, 631, F₅, 3, 5) (dual of [(631, 3), 1876, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(5¹⁷, 632, F₅, 2, 5) (dual of [(632, 2), 1247, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(5³, 31, F₅, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(5³, 31, F₅, 2) (dual of [31, 28, 3]-code), using
    - Hamming code H(3,5) [i]
2. linear OOA(5¹⁴, 601, F₅, 2, 5) (dual of [(601, 2), 1188, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(5¹⁴, 1202, F₅, 5) (dual of [1202, 1188, 6]-code), using
    - trace code [i] based on linear OA(25⁷, 601, F₂₅, 5) (dual of [601, 594, 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		Method
1	Linear OOA(5¹⁰⁹, 4194932, F₅, 3, 10) (dual of [(4194932, 3), 12584687, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(5⁹⁸, 2796832, F₅, 3, 11) (dual of [(2796832, 3), 8390398, 12]-NRT-code)	[i]
3	Linear OOA(5¹¹⁹, 4194932, F₅, 3, 11) (dual of [(4194932, 3), 12584677, 12]-NRT-code)	[i]