MinT - Information on Result #1119855

Information on Result #1119855

Linear OOA(2²⁵⁶, 52, F₂, 5, 207) (dual of [(52, 5), 4, 208]-NRT-code), using repeating each code word 13 times based on linear OOA(2¹⁶, 4, F₂, 5, 15) (dual of [(4, 5), 4, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁶, 5, F₂, 5, 15) (dual of [(5, 5), 9, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,9P) [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(2²⁵⁶, 52, F₂, 5, 206) (dual of [(52, 5), 4, 207]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁶, 52, F₂, 5, 205) (dual of [(52, 5), 4, 206]-NRT-code)	[i]
3	Linear OOA(2²⁵⁶, 52, F₂, 5, 204) (dual of [(52, 5), 4, 205]-NRT-code)	[i]
4	Linear OOA(2²⁵⁶, 52, F₂, 5, 203) (dual of [(52, 5), 4, 204]-NRT-code)	[i]
5	Linear OOA(2²⁵⁶, 52, F₂, 5, 202) (dual of [(52, 5), 4, 203]-NRT-code)	[i]
6	Linear OOA(2²⁵⁶, 52, F₂, 5, 201) (dual of [(52, 5), 4, 202]-NRT-code)	[i]
7	Linear OOA(2²⁵⁶, 52, F₂, 5, 200) (dual of [(52, 5), 4, 201]-NRT-code)	[i]
8	Linear OOA(2²⁵⁶, 52, F₂, 5, 199) (dual of [(52, 5), 4, 200]-NRT-code)	[i]
9	Linear OOA(2²⁵⁶, 52, F₂, 5, 198) (dual of [(52, 5), 4, 199]-NRT-code)	[i]
10	Linear OOA(2²⁵⁶, 52, F₂, 5, 197) (dual of [(52, 5), 4, 198]-NRT-code)	[i]
11	Linear OOA(2²⁵⁶, 52, F₂, 5, 196) (dual of [(52, 5), 4, 197]-NRT-code)	[i]
12	Linear OOA(2²⁵⁶, 52, F₂, 5, 195) (dual of [(52, 5), 4, 196]-NRT-code)	[i]
13	Linear OOA(2²⁵⁶, 52, F₂, 5, 194) (dual of [(52, 5), 4, 195]-NRT-code)	[i]
14	Linear OOA(2²⁵⁶, 52, F₂, 5, 193) (dual of [(52, 5), 4, 194]-NRT-code)	[i]
15	Linear OOA(2²⁵⁶, 52, F₂, 5, 192) (dual of [(52, 5), 4, 193]-NRT-code)	[i]