MinT - Information on Result #1086297

Information on Result #1086297

Linear OOA(3²⁰³, 56, F₃, 4, 153) (dual of [(56, 4), 21, 154]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁹¹, 28, F₃, 4, 76) (dual of [(28, 4), 21, 77]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,35P) [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(3²⁰³, 56, F₃, 4, 152) (dual of [(56, 4), 21, 153]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁰³, 56, F₃, 4, 151) (dual of [(56, 4), 21, 152]-NRT-code)	[i]
3	Linear OOA(3²⁰³, 56, F₃, 4, 150) (dual of [(56, 4), 21, 151]-NRT-code)	[i]
4	Linear OOA(3²⁰³, 56, F₃, 4, 149) (dual of [(56, 4), 21, 150]-NRT-code)	[i]
5	Linear OOA(3²⁰³, 56, F₃, 4, 148) (dual of [(56, 4), 21, 149]-NRT-code)	[i]
6	Linear OOA(3²⁰³, 56, F₃, 4, 147) (dual of [(56, 4), 21, 148]-NRT-code)	[i]
7	Linear OOA(3²⁰³, 56, F₃, 4, 146) (dual of [(56, 4), 21, 147]-NRT-code)	[i]
8	Linear OOA(3²⁰⁷, 57, F₃, 4, 153) (dual of [(57, 4), 21, 154]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
9	Linear OOA(3²⁰², 55, F₃, 4, 152) (dual of [(55, 4), 18, 153]-NRT-code)	[i]	Truncation for OOAs
10	Linear OOA(3²⁰¹, 55, F₃, 4, 151) (dual of [(55, 4), 19, 152]-NRT-code)	[i]
11	Linear OOA(3²⁰⁰, 55, F₃, 4, 150) (dual of [(55, 4), 20, 151]-NRT-code)	[i]
12	Linear OOA(3¹⁹⁹, 55, F₃, 4, 149) (dual of [(55, 4), 21, 150]-NRT-code)	[i]
13	Linear OOA(3¹⁹⁴, 53, F₃, 4, 144) (dual of [(53, 4), 18, 145]-NRT-code)	[i]
14	Linear OOA(3¹⁹³, 53, F₃, 4, 143) (dual of [(53, 4), 19, 144]-NRT-code)	[i]
15	Linear OOA(3¹⁹², 53, F₃, 4, 142) (dual of [(53, 4), 20, 143]-NRT-code)	[i]
16	Linear OOA(3¹⁹¹, 53, F₃, 4, 141) (dual of [(53, 4), 21, 142]-NRT-code)	[i]