MinT - Information on Result #1177301

Information on Result #1177301

Linear OOA(2²⁵¹, 32, F₂, 8, 223) (dual of [(32, 8), 5, 224]-NRT-code), using repeating each code word 4 times based on linear OOA(2⁵⁹, 8, F₂, 8, 55) (dual of [(8, 8), 5, 56]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(8;F,8P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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(2²⁵¹, 32, F₂, 8, 222) (dual of [(32, 8), 5, 223]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵¹, 32, F₂, 8, 221) (dual of [(32, 8), 5, 222]-NRT-code)	[i]
3	Linear OOA(2²⁵¹, 32, F₂, 8, 220) (dual of [(32, 8), 5, 221]-NRT-code)	[i]
4	Linear OOA(2²⁵¹, 32, F₂, 8, 219) (dual of [(32, 8), 5, 220]-NRT-code)	[i]
5	Linear OOA(2²⁵¹, 32, F₂, 8, 218) (dual of [(32, 8), 5, 219]-NRT-code)	[i]
6	Linear OOA(2²⁵¹, 32, F₂, 8, 217) (dual of [(32, 8), 5, 218]-NRT-code)	[i]
7	Linear OOA(2²⁵¹, 32, F₂, 8, 216) (dual of [(32, 8), 5, 217]-NRT-code)	[i]
8	Linear OOA(2²⁵⁰, 31, F₂, 8, 222)	[i]	Truncation for OOAs
9	Linear OOA(2²⁴⁹, 31, F₂, 8, 221)	[i]
10	Linear OOA(2²⁴², 30, F₂, 8, 214)	[i]
11	Linear OOA(2²⁴¹, 30, F₂, 8, 213)	[i]