MinT - Information on Result #909009

Information on Result #909009

Linear OOA(2¹⁴⁹, 76, F₂, 2, 105) (dual of [(76, 2), 3, 106]-NRT-code), using juxtaposition based on

linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2¹⁴³, 73, F₂, 2, 101) (dual of [(73, 2), 3, 102]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code) (see above)
  2. linear OOA(2¹³⁷, 70, F₂, 2, 97) (dual of [(70, 2), 3, 98]-NRT-code), using
    - repeating each code word 14 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;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(2¹⁴⁹, 76, F₂, 2, 104) (dual of [(76, 2), 3, 105]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁴⁹, 76, F₂, 2, 103) (dual of [(76, 2), 3, 104]-NRT-code)	[i]
3	Linear OOA(2¹⁴⁹, 76, F₂, 2, 102) (dual of [(76, 2), 3, 103]-NRT-code)	[i]
4	Linear OOA(2¹⁴⁹, 76, F₂, 2, 101) (dual of [(76, 2), 3, 102]-NRT-code)	[i]
5	Linear OOA(2¹⁴⁹, 76, F₂, 2, 100) (dual of [(76, 2), 3, 101]-NRT-code)	[i]
6	Linear OOA(2¹⁴⁹, 76, F₂, 2, 99) (dual of [(76, 2), 3, 100]-NRT-code)	[i]
7	Linear OOA(2¹⁴⁹, 76, F₂, 2, 98) (dual of [(76, 2), 3, 99]-NRT-code)	[i]
8	Linear OOA(2¹⁴⁹, 76, F₂, 2, 97) (dual of [(76, 2), 3, 98]-NRT-code)	[i]
9	Linear OOA(2¹⁴⁹, 76, F₂, 2, 96) (dual of [(76, 2), 3, 97]-NRT-code)	[i]
10	Linear OOA(2¹⁴⁹, 76, F₂, 2, 95) (dual of [(76, 2), 3, 96]-NRT-code)	[i]
11	Linear OOA(2¹⁴⁵, 74, F₂, 2, 101) (dual of [(74, 2), 3, 102]-NRT-code)	[i]		Truncation for OOAs
12	Linear OOA(2¹⁴⁴, 73, F₂, 2, 100) (dual of [(73, 2), 2, 101]-NRT-code)	[i]
13	Linear OOA(2¹⁴⁰, 71, F₂, 2, 96) (dual of [(71, 2), 2, 97]-NRT-code)	[i]
14	Linear OOA(2¹⁴⁹, 38, F₂, 4, 105) (dual of [(38, 4), 3, 106]-NRT-code)	[i]		OOA Folding