MinT - Information on Result #1086304

Information on Result #1086304

Linear OOA(3²⁰⁴, 56, F₃, 4, 155) (dual of [(56, 4), 20, 156]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁹², 28, F₃, 4, 77) (dual of [(28, 4), 20, 78]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,34P) [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(3²⁰⁴, 56, F₃, 4, 154) (dual of [(56, 4), 20, 155]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁰⁴, 56, F₃, 4, 153) (dual of [(56, 4), 20, 154]-NRT-code)	[i]
3	Linear OOA(3²⁰⁴, 56, F₃, 4, 152) (dual of [(56, 4), 20, 153]-NRT-code)	[i]
4	Linear OOA(3²⁰⁴, 56, F₃, 4, 151) (dual of [(56, 4), 20, 152]-NRT-code)	[i]
5	Linear OOA(3²⁰⁴, 56, F₃, 4, 150) (dual of [(56, 4), 20, 151]-NRT-code)	[i]
6	Linear OOA(3²⁰⁴, 56, F₃, 4, 149) (dual of [(56, 4), 20, 150]-NRT-code)	[i]
7	Linear OOA(3²⁰⁴, 56, F₃, 4, 148) (dual of [(56, 4), 20, 149]-NRT-code)	[i]
8	Linear OOA(3²⁰⁸, 57, F₃, 4, 155) (dual of [(57, 4), 20, 156]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
9	Linear OOA(3²⁰³, 55, F₃, 4, 154) (dual of [(55, 4), 17, 155]-NRT-code)	[i]	Truncation for OOAs
10	Linear OOA(3²⁰², 55, F₃, 4, 153) (dual of [(55, 4), 18, 154]-NRT-code)	[i]
11	Linear OOA(3²⁰¹, 55, F₃, 4, 152) (dual of [(55, 4), 19, 153]-NRT-code)	[i]
12	Linear OOA(3²⁰⁰, 55, F₃, 4, 151) (dual of [(55, 4), 20, 152]-NRT-code)	[i]
13	Linear OOA(3¹⁹⁵, 53, F₃, 4, 146) (dual of [(53, 4), 17, 147]-NRT-code)	[i]
14	Linear OOA(3¹⁹⁴, 53, F₃, 4, 145) (dual of [(53, 4), 18, 146]-NRT-code)	[i]
15	Linear OOA(3¹⁹³, 53, F₃, 4, 144) (dual of [(53, 4), 19, 145]-NRT-code)	[i]
16	Linear OOA(3¹⁹², 53, F₃, 4, 143) (dual of [(53, 4), 20, 144]-NRT-code)	[i]