MinT - Information on Result #1177468

Information on Result #1177468

Linear OOA(2²²⁷, 29, F₂, 8, 202) (dual of [(29, 8), 5, 203]-NRT-code), using juxtaposition based on

linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;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]
linear OOA(2¹⁸⁷, 24, F₂, 8, 167) (dual of [(24, 8), 5, 168]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2⁴³, 6, F₂, 8, 41) (dual of [(6, 8), 5, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2²²⁷, 29, F₂, 8, 201) (dual of [(29, 8), 5, 202]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²⁷, 29, F₂, 8, 200) (dual of [(29, 8), 5, 201]-NRT-code)	[i]
3	Linear OOA(2²²⁷, 29, F₂, 8, 199) (dual of [(29, 8), 5, 200]-NRT-code)	[i]
4	Linear OOA(2²²⁷, 29, F₂, 8, 198) (dual of [(29, 8), 5, 199]-NRT-code)	[i]
5	Linear OOA(2²²⁷, 29, F₂, 8, 197) (dual of [(29, 8), 5, 198]-NRT-code)	[i]
6	Linear OOA(2²²⁷, 29, F₂, 8, 196) (dual of [(29, 8), 5, 197]-NRT-code)	[i]
7	Linear OOA(2²²⁷, 29, F₂, 8, 195) (dual of [(29, 8), 5, 196]-NRT-code)	[i]
8	Linear OOA(2²²⁷, 29, F₂, 8, 194) (dual of [(29, 8), 5, 195]-NRT-code)	[i]
9	Linear OOA(2²²⁷, 29, F₂, 8, 193) (dual of [(29, 8), 5, 194]-NRT-code)	[i]
10	Linear OOA(2²²⁷, 29, F₂, 8, 192) (dual of [(29, 8), 5, 193]-NRT-code)	[i]
11	Linear OOA(2²²⁷, 29, F₂, 8, 191) (dual of [(29, 8), 5, 192]-NRT-code)	[i]
12	Linear OOA(2²²⁷, 29, F₂, 8, 190) (dual of [(29, 8), 5, 191]-NRT-code)	[i]
13	Linear OOA(2²²⁶, 28, F₂, 8, 201)	[i]		Truncation for OOAs
14	Linear OOA(2²²⁵, 28, F₂, 8, 200)	[i]
15	Linear OOA(2²¹⁸, 27, F₂, 8, 193)	[i]
16	Linear OOA(2²¹⁷, 27, F₂, 8, 192)	[i]