MinT - Information on Result #1120575

Information on Result #1120575

Linear OOA(2²⁴⁶, 53, F₂, 5, 170) (dual of [(53, 5), 19, 171]-NRT-code), using juxtaposition based on

linear OOA(2⁸¹, 20, F₂, 5, 62) (dual of [(20, 5), 19, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,37P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁶, 33, F₂, 5, 107) (dual of [(33, 5), 19, 108]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,57P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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		This result only	Method
1	Linear OOA(2²⁴⁶, 53, F₂, 5, 169) (dual of [(53, 5), 19, 170]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁴⁶, 53, F₂, 5, 168) (dual of [(53, 5), 19, 169]-NRT-code)	[i]
3	Linear OOA(2²⁴⁶, 53, F₂, 5, 167) (dual of [(53, 5), 19, 168]-NRT-code)	[i]
4	Linear OOA(2²⁴⁶, 53, F₂, 5, 166) (dual of [(53, 5), 19, 167]-NRT-code)	[i]
5	Linear OOA(2²⁴⁶, 53, F₂, 5, 165) (dual of [(53, 5), 19, 166]-NRT-code)	[i]
6	Linear OOA(2²⁴⁶, 53, F₂, 5, 164) (dual of [(53, 5), 19, 165]-NRT-code)	[i]
7	Linear OOA(2²⁴⁶, 53, F₂, 5, 163) (dual of [(53, 5), 19, 164]-NRT-code)	[i]
8	Linear OOA(2²⁴⁶, 53, F₂, 5, 162) (dual of [(53, 5), 19, 163]-NRT-code)	[i]
9	Linear OOA(2²⁴⁶, 53, F₂, 5, 161) (dual of [(53, 5), 19, 162]-NRT-code)	[i]