MinT - Information on Result #1024067

Information on Result #1024067

Linear OOA(3¹⁶², 56, F₃, 3, 127) (dual of [(56, 3), 6, 128]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3¹⁶², 56, F₃, 3, 126) (dual of [(56, 3), 6, 127]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁶², 56, F₃, 3, 125) (dual of [(56, 3), 6, 126]-NRT-code)	[i]
3	Linear OOA(3¹⁶², 56, F₃, 3, 124) (dual of [(56, 3), 6, 125]-NRT-code)	[i]
4	Linear OOA(3¹⁸⁰, 62, F₃, 3, 139) (dual of [(62, 3), 6, 140]-NRT-code)	[i]	Juxtaposition for OOAs
5	Linear OOA(3¹⁸³, 63, F₃, 3, 142) (dual of [(63, 3), 6, 143]-NRT-code)	[i]
6	Linear OOA(3¹⁸⁶, 64, F₃, 3, 144) (dual of [(64, 3), 6, 145]-NRT-code)	[i]
7	Linear OOA(3¹⁸⁹, 65, F₃, 3, 146) (dual of [(65, 3), 6, 147]-NRT-code)	[i]
8	Linear OOA(3¹⁹², 66, F₃, 3, 149) (dual of [(66, 3), 6, 150]-NRT-code)	[i]
9	Linear OOA(3¹⁹⁵, 67, F₃, 3, 151) (dual of [(67, 3), 6, 152]-NRT-code)	[i]
10	Linear OOA(3¹⁹⁸, 68, F₃, 3, 154) (dual of [(68, 3), 6, 155]-NRT-code)	[i]
11	Linear OOA(3²⁰¹, 69, F₃, 3, 156) (dual of [(69, 3), 6, 157]-NRT-code)	[i]
12	Linear OOA(3²⁰⁴, 70, F₃, 3, 158) (dual of [(70, 3), 6, 159]-NRT-code)	[i]
13	Linear OOA(3²⁰⁷, 71, F₃, 3, 160) (dual of [(71, 3), 6, 161]-NRT-code)	[i]
14	Linear OOA(3²¹⁰, 72, F₃, 3, 163) (dual of [(72, 3), 6, 164]-NRT-code)	[i]
15	Linear OOA(3²¹⁶, 74, F₃, 3, 167) (dual of [(74, 3), 6, 168]-NRT-code)	[i]
16	Linear OOA(3²¹⁹, 75, F₃, 3, 170) (dual of [(75, 3), 6, 171]-NRT-code)	[i]