MinT - Information on Result #2434713

Information on Result #2434713

Linear OOA(3¹⁹³, 104, F₃, 2, 130) (dual of [(104, 2), 15, 131]-NRT-code), using strength reduction based on linear OOA(3¹⁹³, 104, F₃, 2, 131) (dual of [(104, 2), 15, 132]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27²¹, 26, F₂₇, 21) (dual of [26, 5, 22]-code or 26-arc in PG(20,27)), using
  - discarding factors / shortening the dual code based on linear OA(27²¹, 27, F₂₇, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
    - Reedâ€“Solomon code RS(6,27) [i]
2. linear OOA(3⁵, 4, F₃, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;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(3¹⁹², 103, F₃, 2, 129) (dual of [(103, 2), 14, 130]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁹¹, 103, F₃, 2, 128) (dual of [(103, 2), 15, 129]-NRT-code)	[i]
3	Linear OOA(3¹⁹⁰, 102, F₃, 2, 127) (dual of [(102, 2), 14, 128]-NRT-code)	[i]
4	Linear OOA(3¹⁸⁹, 102, F₃, 2, 126) (dual of [(102, 2), 15, 127]-NRT-code)	[i]
5	Linear OOA(3¹⁸⁸, 101, F₃, 2, 125) (dual of [(101, 2), 14, 126]-NRT-code)	[i]
6	Linear OOA(3¹⁸⁷, 101, F₃, 2, 124) (dual of [(101, 2), 15, 125]-NRT-code)	[i]
7	Linear OOA(3¹⁸⁶, 100, F₃, 2, 123) (dual of [(100, 2), 14, 124]-NRT-code)	[i]
8	Linear OOA(3¹⁸⁴, 99, F₃, 2, 121) (dual of [(99, 2), 14, 122]-NRT-code)	[i]
9	Linear OOA(3¹⁸³, 99, F₃, 2, 120) (dual of [(99, 2), 15, 121]-NRT-code)	[i]
10	Linear OOA(3¹⁹³, 52, F₃, 4, 130) (dual of [(52, 4), 15, 131]-NRT-code)	[i]	OOA Folding