MinT - Information on Result #2433285

Information on Result #2433285

Linear OOA(3¹⁶³, 92, F₃, 2, 100) (dual of [(92, 2), 21, 101]-NRT-code), using strength reduction based on linear OOA(3¹⁶³, 92, F₃, 2, 101) (dual of [(92, 2), 21, 102]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁶, 23, F₂₇, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁶, 27, F₂₇, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
    - Reedâ€“Solomon code RS(11,27) [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(3¹⁶², 91, F₃, 2, 99) (dual of [(91, 2), 20, 100]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁶¹, 91, F₃, 2, 98) (dual of [(91, 2), 21, 99]-NRT-code)	[i]
3	Linear OOA(3¹⁶⁰, 90, F₃, 2, 97) (dual of [(90, 2), 20, 98]-NRT-code)	[i]
4	Linear OOA(3¹⁵⁹, 90, F₃, 2, 96) (dual of [(90, 2), 21, 97]-NRT-code)	[i]
5	Linear OOA(3¹⁵⁸, 89, F₃, 2, 95) (dual of [(89, 2), 20, 96]-NRT-code)	[i]
6	Linear OOA(3¹⁵⁷, 89, F₃, 2, 94) (dual of [(89, 2), 21, 95]-NRT-code)	[i]
7	Linear OOA(3¹⁵⁶, 88, F₃, 2, 93) (dual of [(88, 2), 20, 94]-NRT-code)	[i]
8	Linear OOA(3¹⁶³, 46, F₃, 4, 100) (dual of [(46, 4), 21, 101]-NRT-code)	[i]	OOA Folding