MinT - Information on Result #1087080

Information on Result #1087080

Linear OOA(2¹²⁵, 32, F₂, 4, 107) (dual of [(32, 4), 3, 108]-NRT-code), using juxtaposition based on

linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;3,2) [i]
linear OOA(2¹¹³, 29, F₂, 4, 97) (dual of [(29, 4), 3, 98]-NRT-code), using
- 4 step truncation [i] based on linear OOA(2¹¹⁷, 30, F₂, 4, 101) (dual of [(30, 4), 3, 102]-NRT-code), using
  - repeating each code word 6 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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		This result only	Method
1	Linear OOA(2¹²⁵, 32, F₂, 4, 106) (dual of [(32, 4), 3, 107]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹²⁵, 32, F₂, 4, 105) (dual of [(32, 4), 3, 106]-NRT-code)	[i]
3	Linear OOA(2¹²⁵, 32, F₂, 4, 104) (dual of [(32, 4), 3, 105]-NRT-code)	[i]
4	Linear OOA(2¹²⁵, 32, F₂, 4, 103) (dual of [(32, 4), 3, 104]-NRT-code)	[i]
5	Linear OOA(2¹²⁵, 32, F₂, 4, 102) (dual of [(32, 4), 3, 103]-NRT-code)	[i]
6	Linear OOA(2¹²⁵, 32, F₂, 4, 101) (dual of [(32, 4), 3, 102]-NRT-code)	[i]
7	Linear OOA(2¹²⁵, 32, F₂, 4, 100) (dual of [(32, 4), 3, 101]-NRT-code)	[i]
8	Linear OOA(2¹²⁵, 32, F₂, 4, 99) (dual of [(32, 4), 3, 100]-NRT-code)	[i]
9	Linear OOA(2¹²⁵, 32, F₂, 4, 98) (dual of [(32, 4), 3, 99]-NRT-code)	[i]
10	Linear OOA(2¹²⁵, 32, F₂, 4, 97) (dual of [(32, 4), 3, 98]-NRT-code)	[i]
11	Linear OOA(2¹²⁵, 32, F₂, 4, 96) (dual of [(32, 4), 3, 97]-NRT-code)	[i]
12	Linear OOA(2¹²⁵, 16, F₂, 8, 107) (dual of [(16, 8), 3, 108]-NRT-code)	[i]		OOA Folding