MinT - Information on Result #1026573

Information on Result #1026573

Linear OOA(3¹⁵⁸, 54, F₃, 3, 130) (dual of [(54, 3), 4, 131]-NRT-code), using juxtaposition based on

linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹³⁷, 47, F₃, 3, 113) (dual of [(47, 3), 4, 114]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
  2. linear OOA(3¹¹⁶, 40, F₃, 3, 96) (dual of [(40, 3), 4, 97]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
      2. linear OOA(3⁹⁵, 33, F₃, 3, 79) (dual of [(33, 3), 4, 80]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
        linear OOA(3⁷⁴, 26, F₃, 3, 62) (dual of [(26, 3), 4, 63]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
        linear OOA(3⁵³, 19, F₃, 3, 45) (dual of [(19, 3), 4, 46]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
        linear OOA(3³², 12, F₃, 3, 28) (dual of [(12, 3), 4, 29]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;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]

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(3¹⁵⁸, 54, F₃, 3, 129) (dual of [(54, 3), 4, 130]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁵⁸, 54, F₃, 3, 128) (dual of [(54, 3), 4, 129]-NRT-code)	[i]
3	Linear OOA(3¹⁵⁸, 54, F₃, 3, 127) (dual of [(54, 3), 4, 128]-NRT-code)	[i]
4	Linear OOA(3¹⁵⁸, 54, F₃, 3, 126) (dual of [(54, 3), 4, 127]-NRT-code)	[i]
5	Linear OOA(3¹⁷⁹, 61, F₃, 3, 147) (dual of [(61, 3), 4, 148]-NRT-code)	[i]	Juxtaposition for OOAs