MinT - Information on Result #906434

Information on Result #906434

Linear OOA(5¹², 95, F₅, 2, 5) (dual of [(95, 2), 178, 6]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(5¹, 31, F₅, 2, 1) (dual of [(31, 2), 61, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5¹, s, F₅, 2, 1) for arbitrarily large s, using
  - appending 1 arbitrary column [i] based on linear OA(5¹, s, F₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
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]
linear OOA(5⁸, 33, F₅, 2, 5) (dual of [(33, 2), 58, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 33)-net over F₅, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(5⁹³, 4194396, F₅, 2, 11) (dual of [(4194396, 2), 8388699, 12]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(5¹², 94, F₅, 3, 5) (dual of [(94, 3), 270, 6]-NRT-code)	[i]	OOA Stacking with Additional Row
3	Linear OOA(5¹², 94, F₅, 6, 5) (dual of [(94, 6), 552, 6]-NRT-code)	[i]	OOA Stacking with Additional Row