MinT - Information on Result #2433317

Information on Result #2433317

Linear OOA(3¹⁶⁴, 88, F₃, 2, 112) (dual of [(88, 2), 12, 113]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁴, 88, F₃, 2, 113) (dual of [(88, 2), 12, 114]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁸, 22, F₂₇, 18) (dual of [22, 4, 19]-code or 22-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(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(3¹⁶³, 87, F₃, 2, 111) (dual of [(87, 2), 11, 112]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁶², 87, F₃, 2, 110) (dual of [(87, 2), 12, 111]-NRT-code)	[i]
3	Linear OOA(3¹⁶¹, 86, F₃, 2, 109) (dual of [(86, 2), 11, 110]-NRT-code)	[i]
4	Linear OOA(3¹⁶⁰, 86, F₃, 2, 108) (dual of [(86, 2), 12, 109]-NRT-code)	[i]
5	Linear OOA(3¹⁵⁹, 85, F₃, 2, 107) (dual of [(85, 2), 11, 108]-NRT-code)	[i]
6	Linear OOA(3¹⁵⁸, 85, F₃, 2, 106) (dual of [(85, 2), 12, 107]-NRT-code)	[i]
7	Linear OOA(3¹⁵⁷, 84, F₃, 2, 105) (dual of [(84, 2), 11, 106]-NRT-code)	[i]
8	Linear OOA(3¹⁵⁵, 83, F₃, 2, 103) (dual of [(83, 2), 11, 104]-NRT-code)	[i]
9	Linear OOA(3¹⁵⁴, 83, F₃, 2, 102) (dual of [(83, 2), 12, 103]-NRT-code)	[i]
10	Linear OOA(3¹⁶⁴, 44, F₃, 4, 112) (dual of [(44, 4), 12, 113]-NRT-code)	[i]	OOA Folding