MinT - Information on Result #1177244

Information on Result #1177244

Linear OOA(2²⁵², 32, F₂, 8, 223) (dual of [(32, 8), 4, 224]-NRT-code), using repeating each code word 8 times based on linear OOA(2²⁸, 4, F₂, 8, 27) (dual of [(4, 8), 4, 28]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁸, 5, F₂, 8, 27) (dual of [(5, 8), 12, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,12P) [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(2²⁵², 32, F₂, 8, 222) (dual of [(32, 8), 4, 223]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵², 32, F₂, 8, 221) (dual of [(32, 8), 4, 222]-NRT-code)	[i]
3	Linear OOA(2²⁵², 32, F₂, 8, 220) (dual of [(32, 8), 4, 221]-NRT-code)	[i]
4	Linear OOA(2²⁵², 32, F₂, 8, 219) (dual of [(32, 8), 4, 220]-NRT-code)	[i]
5	Linear OOA(2²⁵², 32, F₂, 8, 218) (dual of [(32, 8), 4, 219]-NRT-code)	[i]
6	Linear OOA(2²⁵², 32, F₂, 8, 217) (dual of [(32, 8), 4, 218]-NRT-code)	[i]
7	Linear OOA(2²⁵², 32, F₂, 8, 216) (dual of [(32, 8), 4, 217]-NRT-code)	[i]
8	Linear OOA(2²⁵², 32, F₂, 8, 215) (dual of [(32, 8), 4, 216]-NRT-code)	[i]
9	Linear OOA(2²⁵², 32, F₂, 8, 214) (dual of [(32, 8), 4, 215]-NRT-code)	[i]