MinT - Information on Result #1024012

Information on Result #1024012

Linear OOA(3¹⁵³, 56, F₃, 3, 109) (dual of [(56, 3), 15, 110]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁶⁹, 28, F₃, 3, 54) (dual of [(28, 3), 15, 55]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,29P) [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(3¹⁵³, 56, F₃, 3, 108) (dual of [(56, 3), 15, 109]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁵³, 56, F₃, 3, 107) (dual of [(56, 3), 15, 108]-NRT-code)	[i]
3	Linear OOA(3¹⁵³, 56, F₃, 3, 106) (dual of [(56, 3), 15, 107]-NRT-code)	[i]
4	Linear OOA(3¹⁵³, 56, F₃, 3, 105) (dual of [(56, 3), 15, 106]-NRT-code)	[i]
5	Linear OOA(3¹⁵³, 56, F₃, 3, 104) (dual of [(56, 3), 15, 105]-NRT-code)	[i]
6	Linear OOA(3¹⁵⁶, 57, F₃, 3, 109) (dual of [(57, 3), 15, 110]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
7	Linear OOA(3¹⁵², 55, F₃, 3, 108) (dual of [(55, 3), 13, 109]-NRT-code)	[i]	Truncation for OOAs
8	Linear OOA(3¹⁵¹, 55, F₃, 3, 107) (dual of [(55, 3), 14, 108]-NRT-code)	[i]
9	Linear OOA(3¹⁵⁰, 55, F₃, 3, 106) (dual of [(55, 3), 15, 107]-NRT-code)	[i]
10	Linear OOA(3¹⁴⁶, 53, F₃, 3, 102) (dual of [(53, 3), 13, 103]-NRT-code)	[i]
11	Linear OOA(3¹⁴⁵, 53, F₃, 3, 101) (dual of [(53, 3), 14, 102]-NRT-code)	[i]
12	Linear OOA(3¹⁴⁴, 53, F₃, 3, 100) (dual of [(53, 3), 15, 101]-NRT-code)	[i]
13	Linear OOA(3²⁰⁷, 74, F₃, 3, 140) (dual of [(74, 3), 15, 141]-NRT-code)	[i]	Juxtaposition for OOAs
14	Linear OOA(3²¹⁰, 75, F₃, 3, 143) (dual of [(75, 3), 15, 144]-NRT-code)	[i]
15	Linear OOA(3²¹³, 76, F₃, 3, 144) (dual of [(76, 3), 15, 145]-NRT-code)	[i]