MinT - Information on Result #1086380

Information on Result #1086380

Linear OOA(3²¹⁴, 56, F₃, 4, 175) (dual of [(56, 4), 10, 176]-NRT-code), using repeating each code word 2 times based on linear OOA(3¹⁰², 28, F₃, 4, 87) (dual of [(28, 4), 10, 88]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,24P) [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(3²¹⁴, 56, F₃, 4, 174) (dual of [(56, 4), 10, 175]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²¹⁴, 56, F₃, 4, 173) (dual of [(56, 4), 10, 174]-NRT-code)	[i]
3	Linear OOA(3²¹⁴, 56, F₃, 4, 172) (dual of [(56, 4), 10, 173]-NRT-code)	[i]
4	Linear OOA(3²¹⁴, 56, F₃, 4, 171) (dual of [(56, 4), 10, 172]-NRT-code)	[i]
5	Linear OOA(3²¹⁴, 56, F₃, 4, 170) (dual of [(56, 4), 10, 171]-NRT-code)	[i]
6	Linear OOA(3²¹⁴, 56, F₃, 4, 169) (dual of [(56, 4), 10, 170]-NRT-code)	[i]
7	Linear OOA(3²¹⁴, 56, F₃, 4, 168) (dual of [(56, 4), 10, 169]-NRT-code)	[i]
8	Linear OOA(3²¹⁸, 57, F₃, 4, 175) (dual of [(57, 4), 10, 176]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
9	Linear OOA(3²¹³, 55, F₃, 4, 174) (dual of [(55, 4), 7, 175]-NRT-code)	[i]	Truncation for OOAs
10	Linear OOA(3²¹², 55, F₃, 4, 173) (dual of [(55, 4), 8, 174]-NRT-code)	[i]
11	Linear OOA(3²¹¹, 55, F₃, 4, 172) (dual of [(55, 4), 9, 173]-NRT-code)	[i]
12	Linear OOA(3²¹⁰, 55, F₃, 4, 171) (dual of [(55, 4), 10, 172]-NRT-code)	[i]
13	Linear OOA(3²⁰⁵, 53, F₃, 4, 166) (dual of [(53, 4), 7, 167]-NRT-code)	[i]
14	Linear OOA(3²⁰⁴, 53, F₃, 4, 165) (dual of [(53, 4), 8, 166]-NRT-code)	[i]
15	Linear OOA(3²⁰³, 53, F₃, 4, 164) (dual of [(53, 4), 9, 165]-NRT-code)	[i]
16	Linear OOA(3²⁰², 53, F₃, 4, 163) (dual of [(53, 4), 10, 164]-NRT-code)	[i]