MinT - Information on Result #1026576

Information on Result #1026576

Linear OOA(3¹⁷³, 59, F₃, 3, 142) (dual of [(59, 3), 4, 143]-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(3¹⁵², 52, F₃, 3, 125) (dual of [(52, 3), 4, 126]-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(3¹³¹, 45, F₃, 3, 108) (dual of [(45, 3), 4, 109]-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(3¹¹⁰, 38, F₃, 3, 91) (dual of [(38, 3), 4, 92]-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(3⁸⁹, 31, F₃, 3, 74) (dual of [(31, 3), 4, 75]-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(3⁶⁸, 24, F₃, 3, 57) (dual of [(24, 3), 4, 58]-NRT-code), using
        repeating each code word 2 times [i] based on 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(3¹⁷³, 59, F₃, 3, 141) (dual of [(59, 3), 4, 142]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁷³, 59, F₃, 3, 140) (dual of [(59, 3), 4, 141]-NRT-code)	[i]
3	Linear OOA(3¹⁷³, 59, F₃, 3, 139) (dual of [(59, 3), 4, 140]-NRT-code)	[i]
4	Linear OOA(3¹⁷³, 59, F₃, 3, 138) (dual of [(59, 3), 4, 139]-NRT-code)	[i]
5	Linear OOA(3¹⁷³, 59, F₃, 3, 137) (dual of [(59, 3), 4, 138]-NRT-code)	[i]
6	Linear OOA(3¹⁷³, 59, F₃, 3, 136) (dual of [(59, 3), 4, 137]-NRT-code)	[i]
7	Linear OOA(3¹⁷³, 59, F₃, 3, 135) (dual of [(59, 3), 4, 136]-NRT-code)	[i]
8	Linear OOA(3¹⁷³, 59, F₃, 3, 134) (dual of [(59, 3), 4, 135]-NRT-code)	[i]
9	Linear OOA(3¹⁷³, 59, F₃, 3, 133) (dual of [(59, 3), 4, 134]-NRT-code)	[i]
10	Linear OOA(3¹⁹⁴, 66, F₃, 3, 159) (dual of [(66, 3), 4, 160]-NRT-code)	[i]	Juxtaposition for OOAs