MinT - Information on Result #1023291

Information on Result #1023291

Linear OOA(2¹⁹¹, 65, F₂, 3, 142) (dual of [(65, 3), 4, 143]-NRT-code), using repeating each code word 13 times based on linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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(2¹⁹¹, 65, F₂, 3, 141) (dual of [(65, 3), 4, 142]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁹¹, 65, F₂, 3, 140) (dual of [(65, 3), 4, 141]-NRT-code)	[i]
3	Linear OOA(2¹⁹¹, 65, F₂, 3, 139) (dual of [(65, 3), 4, 140]-NRT-code)	[i]
4	Linear OOA(2¹⁹¹, 65, F₂, 3, 138) (dual of [(65, 3), 4, 139]-NRT-code)	[i]
5	Linear OOA(2¹⁹¹, 65, F₂, 3, 137) (dual of [(65, 3), 4, 138]-NRT-code)	[i]
6	Linear OOA(2¹⁹¹, 65, F₂, 3, 136) (dual of [(65, 3), 4, 137]-NRT-code)	[i]
7	Linear OOA(2¹⁹¹, 65, F₂, 3, 135) (dual of [(65, 3), 4, 136]-NRT-code)	[i]
8	Linear OOA(2¹⁹¹, 65, F₂, 3, 134) (dual of [(65, 3), 4, 135]-NRT-code)	[i]
9	Linear OOA(2¹⁹¹, 65, F₂, 3, 133) (dual of [(65, 3), 4, 134]-NRT-code)	[i]
10	Linear OOA(2¹⁹¹, 65, F₂, 3, 132) (dual of [(65, 3), 4, 133]-NRT-code)	[i]
11	Linear OOA(2¹⁸⁹, 64, F₂, 3, 140) (dual of [(64, 3), 3, 141]-NRT-code)	[i]	Truncation for OOAs
12	Linear OOA(2¹⁸⁸, 64, F₂, 3, 139) (dual of [(64, 3), 4, 140]-NRT-code)	[i]
13	Linear OOA(2¹⁸¹, 61, F₂, 3, 132) (dual of [(61, 3), 2, 133]-NRT-code)	[i]
14	Linear OOA(2¹⁷⁵, 59, F₂, 3, 126) (dual of [(59, 3), 2, 127]-NRT-code)	[i]
15	Linear OOA(2¹⁷⁴, 59, F₂, 3, 125) (dual of [(59, 3), 3, 126]-NRT-code)	[i]
16	Linear OOA(2¹⁷³, 59, F₂, 3, 124) (dual of [(59, 3), 4, 125]-NRT-code)	[i]