MinT - Information on Result #907763

Information on Result #907763

Linear OOA(3²¹⁰, 108, F₃, 2, 143) (dual of [(108, 2), 6, 144]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁶⁶, 36, F₃, 2, 47) (dual of [(36, 2), 6, 48]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3¹⁹, 12, F₃, 2, 15) (dual of [(12, 2), 5, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [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(3²³, 12, F₃, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
  - dual of repetition NRT-code with length 12 [i]
3. linear OOA(3²⁴, 12, F₃, 2, 24) (dual of [(12, 2), 0, 25]-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(3²²⁴, 115, F₃, 2, 151) (dual of [(115, 2), 6, 152]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(3²²⁶, 116, F₃, 2, 152) (dual of [(116, 2), 6, 153]-NRT-code)	[i]
3	Linear OOA(3²⁴², 124, F₃, 2, 163) (dual of [(124, 2), 6, 164]-NRT-code)	[i]