MinT - Information on Result #907766

Information on Result #907766

Linear OOA(3²²³, 114, F₃, 2, 152) (dual of [(114, 2), 5, 153]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁷¹, 38, F₃, 2, 50) (dual of [(38, 2), 5, 51]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3²⁰, 12, F₃, 2, 16) (dual of [(12, 2), 4, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²⁵, 13, F₃, 2, 25) (dual of [(13, 2), 1, 26]-NRT-code), using
  - dual of repetition NRT-code with length 13 [i]
3. linear OOA(3²⁶, 13, F₃, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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(3²³⁹, 122, F₃, 2, 162) (dual of [(122, 2), 5, 163]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(3²⁴¹, 123, F₃, 2, 163) (dual of [(123, 2), 5, 164]-NRT-code)	[i]
3	Linear OOA(3²⁴³, 124, F₃, 2, 165) (dual of [(124, 2), 5, 166]-NRT-code)	[i]
4	Linear OOA(3²⁴⁷, 126, F₃, 2, 168) (dual of [(126, 2), 5, 169]-NRT-code)	[i]