MinT - Information on Result #1119877

Information on Result #1119877

Linear OOA(2²²⁰, 45, F₂, 5, 179) (dual of [(45, 5), 5, 180]-NRT-code), using repeating each code word 9 times based on linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(5;F,5P) [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(2²²⁰, 45, F₂, 5, 178) (dual of [(45, 5), 5, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²²⁰, 45, F₂, 5, 177) (dual of [(45, 5), 5, 178]-NRT-code)	[i]
3	Linear OOA(2²²⁰, 45, F₂, 5, 176) (dual of [(45, 5), 5, 177]-NRT-code)	[i]
4	Linear OOA(2²²⁰, 45, F₂, 5, 175) (dual of [(45, 5), 5, 176]-NRT-code)	[i]
5	Linear OOA(2²²⁰, 45, F₂, 5, 174) (dual of [(45, 5), 5, 175]-NRT-code)	[i]
6	Linear OOA(2²²⁰, 45, F₂, 5, 173) (dual of [(45, 5), 5, 174]-NRT-code)	[i]
7	Linear OOA(2²²⁰, 45, F₂, 5, 172) (dual of [(45, 5), 5, 173]-NRT-code)	[i]
8	Linear OOA(2²²⁰, 45, F₂, 5, 171) (dual of [(45, 5), 5, 172]-NRT-code)	[i]
9	Linear OOA(2²²⁰, 45, F₂, 5, 170) (dual of [(45, 5), 5, 171]-NRT-code)	[i]
10	Linear OOA(2²²⁰, 45, F₂, 5, 169) (dual of [(45, 5), 5, 170]-NRT-code)	[i]
11	Linear OOA(2²²⁰, 45, F₂, 5, 168) (dual of [(45, 5), 5, 169]-NRT-code)	[i]
12	Linear OOA(2²²⁰, 45, F₂, 5, 167) (dual of [(45, 5), 5, 168]-NRT-code)	[i]
13	Linear OOA(2²²⁰, 45, F₂, 5, 166) (dual of [(45, 5), 5, 167]-NRT-code)	[i]
14	Linear OOA(2²²⁰, 45, F₂, 5, 165) (dual of [(45, 5), 5, 166]-NRT-code)	[i]
15	Linear OOA(2²¹⁷, 44, F₂, 5, 176) (dual of [(44, 5), 3, 177]-NRT-code)	[i]	Truncation for OOAs
16	Linear OOA(2²¹³, 43, F₂, 5, 172) (dual of [(43, 5), 2, 173]-NRT-code)	[i]	Truncation for OOAs