MinT - Information on Result #1161653

Information on Result #1161653

Linear OOA(2²²¹, 32, F₂, 7, 203) (dual of [(32, 7), 3, 204]-NRT-code), using juxtaposition based on

linear OOA(2¹⁸, 3, F₂, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(7;3,2) [i]
linear OOA(2²⁰⁰, 29, F₂, 7, 184) (dual of [(29, 7), 3, 185]-NRT-code), using
- 7 step truncation [i] based on linear OOA(2²⁰⁷, 30, F₂, 7, 191) (dual of [(30, 7), 3, 192]-NRT-code), using
  - repeating each code word 6 times [i] based on linear OOA(2³², 5, F₂, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,3P) [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		This result only	Method
1	Linear OOA(2²²¹, 32, F₂, 7, 202) (dual of [(32, 7), 3, 203]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²¹, 32, F₂, 7, 201) (dual of [(32, 7), 3, 202]-NRT-code)	[i]
3	Linear OOA(2²²¹, 32, F₂, 7, 200) (dual of [(32, 7), 3, 201]-NRT-code)	[i]
4	Linear OOA(2²²¹, 32, F₂, 7, 199) (dual of [(32, 7), 3, 200]-NRT-code)	[i]
5	Linear OOA(2²²¹, 32, F₂, 7, 198) (dual of [(32, 7), 3, 199]-NRT-code)	[i]
6	Linear OOA(2²²¹, 32, F₂, 7, 197) (dual of [(32, 7), 3, 198]-NRT-code)	[i]
7	Linear OOA(2²²¹, 32, F₂, 7, 196) (dual of [(32, 7), 3, 197]-NRT-code)	[i]
8	Linear OOA(2²²¹, 32, F₂, 7, 195) (dual of [(32, 7), 3, 196]-NRT-code)	[i]
9	Linear OOA(2²²¹, 32, F₂, 7, 194) (dual of [(32, 7), 3, 195]-NRT-code)	[i]
10	Linear OOA(2²²¹, 32, F₂, 7, 193) (dual of [(32, 7), 3, 194]-NRT-code)	[i]
11	Linear OOA(2²²¹, 32, F₂, 7, 192) (dual of [(32, 7), 3, 193]-NRT-code)	[i]