MinT - Information on Result #1120547

Information on Result #1120547

Linear OOA(3²⁵⁰, 52, F₃, 5, 211) (dual of [(52, 5), 10, 212]-NRT-code), using repeating each code word 2 times based on linear OOA(3¹²⁰, 26, F₃, 5, 105) (dual of [(26, 5), 10, 106]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹²⁰, 28, F₃, 5, 105) (dual of [(28, 5), 20, 106]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,34P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3²⁵⁰, 52, F₃, 5, 210) (dual of [(52, 5), 10, 211]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁵⁰, 52, F₃, 5, 209) (dual of [(52, 5), 10, 210]-NRT-code)	[i]
3	Linear OOA(3²⁵⁰, 52, F₃, 5, 208) (dual of [(52, 5), 10, 209]-NRT-code)	[i]
4	Linear OOA(3²⁵⁰, 52, F₃, 5, 207) (dual of [(52, 5), 10, 208]-NRT-code)	[i]