MinT - Information on Result #2625911

Information on Result #2625911

Linear OOA(3¹⁹⁸, 72, F₃, 3, 131) (dual of [(72, 3), 18, 132]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁸, 72, F₃, 3, 132) (dual of [(72, 3), 18, 133]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁸, 24, F₂₇, 18) (dual of [24, 6, 19]-code or 24-arc in PG(17,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁸, 27, F₂₇, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
    - Reedâ€“Solomon code RS(9,27) [i]
2. linear OOA(3⁶, 3, F₃, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;3,3) [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(3¹⁹⁷, 71, F₃, 3, 130) (dual of [(71, 3), 16, 131]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁹⁶, 71, F₃, 3, 129) (dual of [(71, 3), 17, 130]-NRT-code)	[i]
3	Linear OOA(3¹⁹⁵, 71, F₃, 3, 128) (dual of [(71, 3), 18, 129]-NRT-code)	[i]
4	Linear OOA(3¹⁹³, 70, F₃, 3, 126) (dual of [(70, 3), 17, 127]-NRT-code)	[i]
5	Linear OOA(3¹⁹², 70, F₃, 3, 125) (dual of [(70, 3), 18, 126]-NRT-code)	[i]