MinT - Information on Result #1120937

Information on Result #1120937

Linear OOA(2¹⁸⁶, 38, F₂, 5, 158) (dual of [(38, 5), 4, 159]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶¹, 33, F₂, 5, 137) (dual of [(33, 5), 4, 138]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
  2. linear OOA(2¹³⁶, 28, F₂, 5, 116) (dual of [(28, 5), 4, 117]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
      2. linear OOA(2¹¹¹, 23, F₂, 5, 95) (dual of [(23, 5), 4, 96]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
        linear OOA(2⁸⁶, 18, F₂, 5, 74) (dual of [(18, 5), 4, 75]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2²⁶, 6, F₂, 5, 24) (dual of [(6, 5), 4, 25]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2¹⁸⁶, 38, F₂, 5, 157) (dual of [(38, 5), 4, 158]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁸⁶, 38, F₂, 5, 156) (dual of [(38, 5), 4, 157]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁶, 38, F₂, 5, 155) (dual of [(38, 5), 4, 156]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁶, 38, F₂, 5, 154) (dual of [(38, 5), 4, 155]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁶, 38, F₂, 5, 153) (dual of [(38, 5), 4, 154]-NRT-code)	[i]
6	Linear OOA(2¹⁸⁶, 38, F₂, 5, 152) (dual of [(38, 5), 4, 153]-NRT-code)	[i]
7	Linear OOA(2¹⁸⁶, 38, F₂, 5, 151) (dual of [(38, 5), 4, 152]-NRT-code)	[i]
8	Linear OOA(2¹⁸⁶, 38, F₂, 5, 150) (dual of [(38, 5), 4, 151]-NRT-code)	[i]
9	Linear OOA(2¹⁸⁶, 38, F₂, 5, 149) (dual of [(38, 5), 4, 150]-NRT-code)	[i]
10	Linear OOA(2¹⁸⁶, 38, F₂, 5, 148) (dual of [(38, 5), 4, 149]-NRT-code)	[i]
11	Linear OOA(2¹⁸⁶, 38, F₂, 5, 147) (dual of [(38, 5), 4, 148]-NRT-code)	[i]
12	Linear OOA(2¹⁸⁶, 38, F₂, 5, 146) (dual of [(38, 5), 4, 147]-NRT-code)	[i]
13	Linear OOA(2¹⁸⁶, 38, F₂, 5, 145) (dual of [(38, 5), 4, 146]-NRT-code)	[i]
14	Linear OOA(2¹⁸⁶, 38, F₂, 5, 144) (dual of [(38, 5), 4, 145]-NRT-code)	[i]
15	Linear OOA(2¹⁸⁶, 38, F₂, 5, 143) (dual of [(38, 5), 4, 144]-NRT-code)	[i]
16	Linear OOA(2¹⁸⁶, 38, F₂, 5, 142) (dual of [(38, 5), 4, 143]-NRT-code)	[i]
17	Linear OOA(2¹⁸⁶, 38, F₂, 5, 141) (dual of [(38, 5), 4, 142]-NRT-code)	[i]
18	Linear OOA(2¹⁸³, 37, F₂, 5, 155) (dual of [(37, 5), 2, 156]-NRT-code)	[i]	Truncation for OOAs
19	Linear OOA(2¹⁷³, 35, F₂, 5, 145) (dual of [(35, 5), 2, 146]-NRT-code)	[i]
20	Linear OOA(2¹⁶⁷, 34, F₂, 5, 139) (dual of [(34, 5), 3, 140]-NRT-code)	[i]
21	Linear OOA(2¹⁶⁶, 34, F₂, 5, 138) (dual of [(34, 5), 4, 139]-NRT-code)	[i]
22	Linear OOA(2²¹¹, 43, F₂, 5, 179) (dual of [(43, 5), 4, 180]-NRT-code)	[i]	Juxtaposition for OOAs