MinT - Information on Result #1023292

Information on Result #1023292

Linear OOA(2²⁰⁶, 70, F₂, 3, 153) (dual of [(70, 3), 4, 154]-NRT-code), using repeating each code word 14 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(2²⁰⁶, 70, F₂, 3, 152) (dual of [(70, 3), 4, 153]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁰⁶, 70, F₂, 3, 151) (dual of [(70, 3), 4, 152]-NRT-code)	[i]
3	Linear OOA(2²⁰⁶, 70, F₂, 3, 150) (dual of [(70, 3), 4, 151]-NRT-code)	[i]
4	Linear OOA(2²⁰⁶, 70, F₂, 3, 149) (dual of [(70, 3), 4, 150]-NRT-code)	[i]
5	Linear OOA(2²⁰⁶, 70, F₂, 3, 148) (dual of [(70, 3), 4, 149]-NRT-code)	[i]
6	Linear OOA(2²⁰⁶, 70, F₂, 3, 147) (dual of [(70, 3), 4, 148]-NRT-code)	[i]
7	Linear OOA(2²⁰⁶, 70, F₂, 3, 146) (dual of [(70, 3), 4, 147]-NRT-code)	[i]
8	Linear OOA(2²⁰⁶, 70, F₂, 3, 145) (dual of [(70, 3), 4, 146]-NRT-code)	[i]
9	Linear OOA(2²⁰⁶, 70, F₂, 3, 144) (dual of [(70, 3), 4, 145]-NRT-code)	[i]
10	Linear OOA(2²⁰⁶, 70, F₂, 3, 143) (dual of [(70, 3), 4, 144]-NRT-code)	[i]
11	Linear OOA(2²⁰³, 69, F₂, 3, 150) (dual of [(69, 3), 4, 151]-NRT-code)	[i]	Truncation for OOAs
12	Linear OOA(2¹⁹⁹, 67, F₂, 3, 146) (dual of [(67, 3), 2, 147]-NRT-code)	[i]
13	Linear OOA(2¹⁹³, 65, F₂, 3, 140) (dual of [(65, 3), 2, 141]-NRT-code)	[i]
14	Linear OOA(2¹⁸⁹, 64, F₂, 3, 136) (dual of [(64, 3), 3, 137]-NRT-code)	[i]
15	Linear OOA(2¹⁸⁸, 64, F₂, 3, 135) (dual of [(64, 3), 4, 136]-NRT-code)	[i]
16	Linear OOA(2²⁰⁶, 35, F₂, 6, 153) (dual of [(35, 6), 4, 154]-NRT-code)	[i]	OOA Folding