MinT - Information on Result #2430456

Information on Result #2430456

Linear OOA(3⁷⁴, 40, F₃, 2, 53) (dual of [(40, 2), 6, 54]-NRT-code), using strength reduction based on linear OOA(3⁷⁴, 40, F₃, 2, 55) (dual of [(40, 2), 6, 56]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(9⁷, 10, F₉, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
  - extended Reedâ€“Solomon code RS_e(3,9) [i]
2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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(3⁷⁵, 40, F₃, 2, 53) (dual of [(40, 2), 5, 54]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3⁷³, 39, F₃, 2, 52) (dual of [(39, 2), 5, 53]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(3⁷², 39, F₃, 2, 51) (dual of [(39, 2), 6, 52]-NRT-code)	[i]
4	Linear OOA(3⁷⁰, 38, F₃, 2, 49) (dual of [(38, 2), 6, 50]-NRT-code)	[i]
5	Linear OOA(3⁶⁹, 37, F₃, 2, 48) (dual of [(37, 2), 5, 49]-NRT-code)	[i]
6	Linear OOA(3⁶⁸, 37, F₃, 2, 47) (dual of [(37, 2), 6, 48]-NRT-code)	[i]
7	Linear OOA(3⁶⁷, 36, F₃, 2, 46) (dual of [(36, 2), 5, 47]-NRT-code)	[i]
8	Linear OOA(3⁷⁴, 20, F₃, 4, 53) (dual of [(20, 4), 6, 54]-NRT-code)	[i]	OOA Folding