MinT - Information on Result #2436799

Information on Result #2436799

Linear OOA(3²²⁹, 119, F₃, 2, 163) (dual of [(119, 2), 9, 164]-NRT-code), using strength reduction based on linear OOA(3²²⁹, 119, F₃, 2, 164) (dual of [(119, 2), 9, 165]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁴, 17, F₂₇, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
    - Reedâ€“Solomon code RS(13,27) [i]
2. linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [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(3²²⁸, 118, F₃, 2, 162) (dual of [(118, 2), 8, 163]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²²⁷, 118, F₃, 2, 161) (dual of [(118, 2), 9, 162]-NRT-code)	[i]
3	Linear OOA(3²²⁶, 117, F₃, 2, 160) (dual of [(117, 2), 8, 161]-NRT-code)	[i]
4	Linear OOA(3²²⁵, 117, F₃, 2, 159) (dual of [(117, 2), 9, 160]-NRT-code)	[i]
5	Linear OOA(3²²³, 116, F₃, 2, 157) (dual of [(116, 2), 9, 158]-NRT-code)	[i]
6	Linear OOA(3²²², 115, F₃, 2, 156) (dual of [(115, 2), 8, 157]-NRT-code)	[i]
7	Linear OOA(3²²¹, 115, F₃, 2, 155) (dual of [(115, 2), 9, 156]-NRT-code)	[i]
8	Linear OOA(3²¹⁹, 114, F₃, 2, 153) (dual of [(114, 2), 9, 154]-NRT-code)	[i]
9	Linear OOA(3²¹⁸, 113, F₃, 2, 152) (dual of [(113, 2), 8, 153]-NRT-code)	[i]
10	Linear OOA(3²¹⁷, 113, F₃, 2, 151) (dual of [(113, 2), 9, 152]-NRT-code)	[i]