MinT - Information on Result #907765

Information on Result #907765

Linear OOA(3¹⁴⁷, 76, F₃, 2, 101) (dual of [(76, 2), 5, 102]-NRT-code), using repeating each code word 2 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(3¹⁵⁹, 82, F₃, 2, 108) (dual of [(82, 2), 5, 109]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(3¹⁶¹, 83, F₃, 2, 110) (dual of [(83, 2), 5, 111]-NRT-code)	[i]
3	Linear OOA(3¹⁶⁷, 86, F₃, 2, 114) (dual of [(86, 2), 5, 115]-NRT-code)	[i]
4	Linear OOA(3¹⁷¹, 88, F₃, 2, 117) (dual of [(88, 2), 5, 118]-NRT-code)	[i]
5	Linear OOA(3¹⁸⁹, 97, F₃, 2, 129) (dual of [(97, 2), 5, 130]-NRT-code)	[i]
6	Linear OOA(3²¹⁷, 111, F₃, 2, 148) (dual of [(111, 2), 5, 149]-NRT-code)	[i]