MinT - Information on Result #1024371

Information on Result #1024371

Linear OOA(4¹⁶³, 56, F₄, 3, 139) (dual of [(56, 3), 5, 140]-NRT-code), using repeating each code word 4 times based on linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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(4¹⁶³, 56, F₄, 3, 138) (dual of [(56, 3), 5, 139]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4¹⁶³, 56, F₄, 3, 137) (dual of [(56, 3), 5, 138]-NRT-code)	[i]
3	Linear OOA(4¹⁶³, 56, F₄, 3, 136) (dual of [(56, 3), 5, 137]-NRT-code)	[i]
4	Linear OOA(4¹⁶³, 56, F₄, 3, 135) (dual of [(56, 3), 5, 136]-NRT-code)	[i]
5	Linear OOA(4¹⁶³, 56, F₄, 3, 134) (dual of [(56, 3), 5, 135]-NRT-code)	[i]
6	Linear OOA(4¹⁶¹, 55, F₄, 3, 137) (dual of [(55, 3), 4, 138]-NRT-code)	[i]	Truncation for OOAs
7	Linear OOA(4¹⁶⁰, 55, F₄, 3, 136) (dual of [(55, 3), 5, 137]-NRT-code)	[i]
8	Linear OOA(4¹⁵⁷, 54, F₄, 3, 133) (dual of [(54, 3), 5, 134]-NRT-code)	[i]
9	Linear OOA(4¹⁵⁶, 53, F₄, 3, 132) (dual of [(53, 3), 3, 133]-NRT-code)	[i]
10	Linear OOA(4¹⁵⁵, 53, F₄, 3, 131) (dual of [(53, 3), 4, 132]-NRT-code)	[i]
11	Linear OOA(4¹⁵⁴, 53, F₄, 3, 130) (dual of [(53, 3), 5, 131]-NRT-code)	[i]
12	Linear OOA(4¹⁵⁰, 51, F₄, 3, 126) (dual of [(51, 3), 3, 127]-NRT-code)	[i]
13	Linear OOA(4¹⁷⁸, 61, F₄, 3, 150) (dual of [(61, 3), 5, 151]-NRT-code)	[i]	Juxtaposition for OOAs
14	Linear OOA(4¹⁸⁷, 64, F₄, 3, 158) (dual of [(64, 3), 5, 159]-NRT-code)	[i]
15	Linear OOA(4¹⁹⁰, 65, F₄, 3, 161) (dual of [(65, 3), 5, 162]-NRT-code)	[i]
16	Linear OOA(4¹⁹³, 66, F₄, 3, 163) (dual of [(66, 3), 5, 164]-NRT-code)	[i]