MinT - Information on Result #1177260

Information on Result #1177260

Linear OOA(2²³⁶, 30, F₂, 8, 215) (dual of [(30, 8), 4, 216]-NRT-code), using repeating each code word 6 times based on linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(8;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(2²³⁶, 30, F₂, 8, 214) (dual of [(30, 8), 4, 215]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²³⁶, 30, F₂, 8, 213) (dual of [(30, 8), 4, 214]-NRT-code)	[i]
3	Linear OOA(2²³⁶, 30, F₂, 8, 212) (dual of [(30, 8), 4, 213]-NRT-code)	[i]
4	Linear OOA(2²³⁶, 30, F₂, 8, 211) (dual of [(30, 8), 4, 212]-NRT-code)	[i]
5	Linear OOA(2²³⁶, 30, F₂, 8, 210) (dual of [(30, 8), 4, 211]-NRT-code)	[i]
6	Linear OOA(2²³⁵, 29, F₂, 8, 214)	[i]	Truncation for OOAs
7	Linear OOA(2²³⁴, 29, F₂, 8, 213)	[i]
8	Linear OOA(2²³³, 29, F₂, 8, 212)	[i]
9	Linear OOA(2²²⁹, 29, F₂, 8, 208) (dual of [(29, 8), 3, 209]-NRT-code)	[i]
10	Linear OOA(2²²⁸, 29, F₂, 8, 207) (dual of [(29, 8), 4, 208]-NRT-code)	[i]
11	Linear OOA(2²²⁷, 28, F₂, 8, 206)	[i]
12	Linear OOA(2²²⁶, 28, F₂, 8, 205)	[i]
13	Linear OOA(2²²⁵, 28, F₂, 8, 204)	[i]
14	Linear OOA(2²¹⁹, 27, F₂, 8, 198)	[i]
15	Linear OOA(2²¹⁸, 27, F₂, 8, 197)	[i]
16	Linear OOA(2²¹⁷, 27, F₂, 8, 196)	[i]
17	Linear OOA(2²¹¹, 26, F₂, 8, 190)	[i]
18	Linear OOA(2²¹⁰, 26, F₂, 8, 189)	[i]
19	Linear OOA(2²⁰⁹, 26, F₂, 8, 188)	[i]
20	Linear OOA(2²⁰³, 25, F₂, 8, 182)	[i]
21	Linear OOA(2²⁰², 25, F₂, 8, 181)	[i]
22	Linear OOA(2²⁰¹, 25, F₂, 8, 180)	[i]