MinT - Information on Result #1119852

Information on Result #1119852

Linear OOA(2¹⁵⁶, 32, F₂, 5, 127) (dual of [(32, 5), 4, 128]-NRT-code), using repeating each code word 8 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(2¹⁵⁶, 32, F₂, 5, 126) (dual of [(32, 5), 4, 127]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁵⁶, 32, F₂, 5, 125) (dual of [(32, 5), 4, 126]-NRT-code)	[i]
3	Linear OOA(2¹⁵⁶, 32, F₂, 5, 124) (dual of [(32, 5), 4, 125]-NRT-code)	[i]
4	Linear OOA(2¹⁵⁶, 32, F₂, 5, 123) (dual of [(32, 5), 4, 124]-NRT-code)	[i]
5	Linear OOA(2¹⁵⁶, 32, F₂, 5, 122) (dual of [(32, 5), 4, 123]-NRT-code)	[i]
6	Linear OOA(2¹⁵⁶, 32, F₂, 5, 121) (dual of [(32, 5), 4, 122]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁶, 32, F₂, 5, 120) (dual of [(32, 5), 4, 121]-NRT-code)	[i]
8	Linear OOA(2¹⁵⁶, 32, F₂, 5, 119) (dual of [(32, 5), 4, 120]-NRT-code)	[i]