MinT - Information on Result #1120916

Information on Result #1120916

Linear OOA(2²⁶⁰, 53, F₂, 5, 211) (dual of [(53, 5), 5, 212]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;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(2²³⁵, 48, F₂, 5, 191) (dual of [(48, 5), 5, 192]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(2²⁵, 6, F₂, 5, 23) (dual of [(6, 5), 5, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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		Method
1	Linear OOA(2²⁶⁰, 53, F₂, 5, 210) (dual of [(53, 5), 5, 211]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁶⁰, 53, F₂, 5, 209) (dual of [(53, 5), 5, 210]-NRT-code)	[i]
3	Linear OOA(2²⁶⁰, 53, F₂, 5, 208) (dual of [(53, 5), 5, 209]-NRT-code)	[i]
4	Linear OOA(2²⁶⁰, 53, F₂, 5, 207) (dual of [(53, 5), 5, 208]-NRT-code)	[i]
5	Linear OOA(2²⁶⁰, 53, F₂, 5, 206) (dual of [(53, 5), 5, 207]-NRT-code)	[i]
6	Linear OOA(2²⁶⁰, 53, F₂, 5, 205) (dual of [(53, 5), 5, 206]-NRT-code)	[i]
7	Linear OOA(2²⁶⁰, 53, F₂, 5, 204) (dual of [(53, 5), 5, 205]-NRT-code)	[i]
8	Linear OOA(2²⁶⁰, 53, F₂, 5, 203) (dual of [(53, 5), 5, 204]-NRT-code)	[i]
9	Linear OOA(2²⁶⁰, 53, F₂, 5, 202) (dual of [(53, 5), 5, 203]-NRT-code)	[i]
10	Linear OOA(2²⁶⁰, 53, F₂, 5, 201) (dual of [(53, 5), 5, 202]-NRT-code)	[i]
11	Linear OOA(2²⁶⁰, 53, F₂, 5, 200) (dual of [(53, 5), 5, 201]-NRT-code)	[i]
12	Linear OOA(2²⁶⁰, 53, F₂, 5, 199) (dual of [(53, 5), 5, 200]-NRT-code)	[i]
13	Linear OOA(2²⁶⁰, 53, F₂, 5, 198) (dual of [(53, 5), 5, 199]-NRT-code)	[i]
14	Linear OOA(2²⁶⁰, 53, F₂, 5, 197) (dual of [(53, 5), 5, 198]-NRT-code)	[i]
15	Linear OOA(2²⁶⁰, 53, F₂, 5, 196) (dual of [(53, 5), 5, 197]-NRT-code)	[i]
16	Linear OOA(2²⁶⁰, 53, F₂, 5, 195) (dual of [(53, 5), 5, 196]-NRT-code)	[i]
17	Linear OOA(2²⁶⁰, 53, F₂, 5, 194) (dual of [(53, 5), 5, 195]-NRT-code)	[i]
18	Linear OOA(2²⁴², 49, F₂, 5, 193) (dual of [(49, 5), 3, 194]-NRT-code)	[i]	Truncation for OOAs
19	Linear OOA(2²⁴¹, 49, F₂, 5, 192) (dual of [(49, 5), 4, 193]-NRT-code)	[i]	Truncation for OOAs