MinT - Information on Result #1177245

Information on Result #1177245

Linear OOA(2²⁵³, 32, F₂, 8, 231) (dual of [(32, 8), 3, 232]-NRT-code), using repeating each code word 8 times based on linear OOA(2²⁹, 4, F₂, 8, 28) (dual of [(4, 8), 3, 29]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁹, 5, F₂, 8, 28) (dual of [(5, 8), 11, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,11P) [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(2²⁵³, 32, F₂, 8, 230) (dual of [(32, 8), 3, 231]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵³, 32, F₂, 8, 229) (dual of [(32, 8), 3, 230]-NRT-code)	[i]
3	Linear OOA(2²⁵³, 32, F₂, 8, 228) (dual of [(32, 8), 3, 229]-NRT-code)	[i]
4	Linear OOA(2²⁵³, 32, F₂, 8, 227) (dual of [(32, 8), 3, 228]-NRT-code)	[i]
5	Linear OOA(2²⁵³, 32, F₂, 8, 226) (dual of [(32, 8), 3, 227]-NRT-code)	[i]
6	Linear OOA(2²⁵³, 32, F₂, 8, 225) (dual of [(32, 8), 3, 226]-NRT-code)	[i]
7	Linear OOA(2²⁵³, 32, F₂, 8, 224) (dual of [(32, 8), 3, 225]-NRT-code)	[i]
8	Linear OOA(2²⁵², 31, F₂, 8, 230)	[i]	Truncation for OOAs
9	Linear OOA(2²⁵¹, 31, F₂, 8, 229)	[i]
10	Linear OOA(2²⁵⁰, 31, F₂, 8, 228)	[i]
11	Linear OOA(2²⁴⁹, 31, F₂, 8, 227)	[i]