MinT - Information on Result #1119854

Information on Result #1119854

Linear OOA(2²¹⁶, 44, F₂, 5, 175) (dual of [(44, 5), 4, 176]-NRT-code), using repeating each code word 11 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(2²¹⁶, 44, F₂, 5, 174) (dual of [(44, 5), 4, 175]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁶, 44, F₂, 5, 173) (dual of [(44, 5), 4, 174]-NRT-code)	[i]
3	Linear OOA(2²¹⁶, 44, F₂, 5, 172) (dual of [(44, 5), 4, 173]-NRT-code)	[i]
4	Linear OOA(2²¹⁶, 44, F₂, 5, 171) (dual of [(44, 5), 4, 172]-NRT-code)	[i]
5	Linear OOA(2²¹⁶, 44, F₂, 5, 170) (dual of [(44, 5), 4, 171]-NRT-code)	[i]
6	Linear OOA(2²¹⁶, 44, F₂, 5, 169) (dual of [(44, 5), 4, 170]-NRT-code)	[i]
7	Linear OOA(2²¹⁶, 44, F₂, 5, 168) (dual of [(44, 5), 4, 169]-NRT-code)	[i]
8	Linear OOA(2²¹⁶, 44, F₂, 5, 167) (dual of [(44, 5), 4, 168]-NRT-code)	[i]
9	Linear OOA(2²¹⁶, 44, F₂, 5, 166) (dual of [(44, 5), 4, 167]-NRT-code)	[i]
10	Linear OOA(2²¹⁶, 44, F₂, 5, 165) (dual of [(44, 5), 4, 166]-NRT-code)	[i]
11	Linear OOA(2²¹⁶, 44, F₂, 5, 164) (dual of [(44, 5), 4, 165]-NRT-code)	[i]