MinT - Information on Result #1177460

Information on Result #1177460

Linear OOA(2²²⁶, 29, F₂, 8, 199) (dual of [(29, 8), 6, 200]-NRT-code), using juxtaposition based on

linear OOA(2⁶⁶, 9, F₂, 8, 61) (dual of [(9, 8), 6, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁴, 20, F₂, 8, 137) (dual of [(20, 8), 6, 138]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁷⁴, 10, F₂, 8, 68) (dual of [(10, 8), 6, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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		This result only	Method
1	Linear OOA(2²²⁶, 29, F₂, 8, 198) (dual of [(29, 8), 6, 199]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²⁶, 29, F₂, 8, 197) (dual of [(29, 8), 6, 198]-NRT-code)	[i]
3	Linear OOA(2²²⁶, 29, F₂, 8, 196) (dual of [(29, 8), 6, 197]-NRT-code)	[i]
4	Linear OOA(2²²⁶, 29, F₂, 8, 195) (dual of [(29, 8), 6, 196]-NRT-code)	[i]
5	Linear OOA(2²²⁶, 29, F₂, 8, 194) (dual of [(29, 8), 6, 195]-NRT-code)	[i]
6	Linear OOA(2²²⁶, 29, F₂, 8, 193) (dual of [(29, 8), 6, 194]-NRT-code)	[i]
7	Linear OOA(2²²⁶, 29, F₂, 8, 192) (dual of [(29, 8), 6, 193]-NRT-code)	[i]
8	Linear OOA(2²²⁶, 29, F₂, 8, 191) (dual of [(29, 8), 6, 192]-NRT-code)	[i]
9	Linear OOA(2²²⁶, 29, F₂, 8, 190) (dual of [(29, 8), 6, 191]-NRT-code)	[i]
10	Linear OOA(2²²⁶, 29, F₂, 8, 189) (dual of [(29, 8), 6, 190]-NRT-code)	[i]
11	Linear OOA(2²²⁶, 29, F₂, 8, 188) (dual of [(29, 8), 6, 189]-NRT-code)	[i]
12	Linear OOA(2²²⁵, 28, F₂, 8, 198)	[i]		Truncation for OOAs
13	Linear OOA(2²¹⁷, 27, F₂, 8, 190)	[i]		Truncation for OOAs