MinT - Information on Result #2434415

Information on Result #2434415

Linear OOA(3¹⁸⁷, 104, F₃, 2, 118) (dual of [(104, 2), 21, 119]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁷, 104, F₃, 2, 119) (dual of [(104, 2), 21, 120]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁹, 26, F₂₇, 19) (dual of [26, 7, 20]-code or 26-arc in PG(18,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁹, 27, F₂₇, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
    - Reedâ€“Solomon code RS(8,27) [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(3¹⁸⁶, 103, F₃, 2, 117) (dual of [(103, 2), 20, 118]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁸⁵, 103, F₃, 2, 116) (dual of [(103, 2), 21, 117]-NRT-code)	[i]
3	Linear OOA(3¹⁸⁴, 102, F₃, 2, 115) (dual of [(102, 2), 20, 116]-NRT-code)	[i]
4	Linear OOA(3¹⁸³, 102, F₃, 2, 114) (dual of [(102, 2), 21, 115]-NRT-code)	[i]
5	Linear OOA(3¹⁸², 101, F₃, 2, 113) (dual of [(101, 2), 20, 114]-NRT-code)	[i]
6	Linear OOA(3¹⁸¹, 101, F₃, 2, 112) (dual of [(101, 2), 21, 113]-NRT-code)	[i]
7	Linear OOA(3¹⁸⁰, 100, F₃, 2, 111) (dual of [(100, 2), 20, 112]-NRT-code)	[i]
8	Linear OOA(3¹⁸⁷, 52, F₃, 4, 118) (dual of [(52, 4), 21, 119]-NRT-code)	[i]	OOA Folding