MinT - Information on Result #907762

Information on Result #907762

Linear OOA(3¹³⁸, 72, F₃, 2, 95) (dual of [(72, 2), 6, 96]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁶⁶, 36, F₃, 2, 47) (dual of [(36, 2), 6, 48]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3¹⁹, 12, F₃, 2, 15) (dual of [(12, 2), 5, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²³, 12, F₃, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
  - dual of repetition NRT-code with length 12 [i]
3. linear OOA(3²⁴, 12, F₃, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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(3¹⁵², 79, F₃, 2, 103) (dual of [(79, 2), 6, 104]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(3¹⁵⁴, 80, F₃, 2, 104) (dual of [(80, 2), 6, 105]-NRT-code)	[i]
3	Linear OOA(3¹⁶⁴, 85, F₃, 2, 111) (dual of [(85, 2), 6, 112]-NRT-code)	[i]
4	Linear OOA(3¹⁶⁶, 86, F₃, 2, 112) (dual of [(86, 2), 6, 113]-NRT-code)	[i]
5	Linear OOA(3¹⁶⁸, 87, F₃, 2, 113) (dual of [(87, 2), 6, 114]-NRT-code)	[i]
6	Linear OOA(3¹⁷⁰, 88, F₃, 2, 115) (dual of [(88, 2), 6, 116]-NRT-code)	[i]
7	Linear OOA(3¹⁷⁴, 90, F₃, 2, 117) (dual of [(90, 2), 6, 118]-NRT-code)	[i]
8	Linear OOA(3¹⁷⁶, 91, F₃, 2, 119) (dual of [(91, 2), 6, 120]-NRT-code)	[i]
9	Linear OOA(3¹⁷⁸, 92, F₃, 2, 120) (dual of [(92, 2), 6, 121]-NRT-code)	[i]
10	Linear OOA(3¹⁸⁰, 93, F₃, 2, 122) (dual of [(93, 2), 6, 123]-NRT-code)	[i]
11	Linear OOA(3¹⁹², 99, F₃, 2, 129) (dual of [(99, 2), 6, 130]-NRT-code)	[i]
12	Linear OOA(3¹⁹⁴, 100, F₃, 2, 131) (dual of [(100, 2), 6, 132]-NRT-code)	[i]
13	Linear OOA(3¹⁹⁶, 101, F₃, 2, 132) (dual of [(101, 2), 6, 133]-NRT-code)	[i]
14	Linear OOA(3¹⁹⁸, 102, F₃, 2, 134) (dual of [(102, 2), 6, 135]-NRT-code)	[i]