MinT - Information on Result #941601

Information on Result #941601

Linear OOA(2¹³⁵, 70, F₂, 2, 87) (dual of [(70, 2), 5, 88]-NRT-code), using juxtaposition based on

linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2¹¹⁹, 62, F₂, 2, 78) (dual of [(62, 2), 5, 79]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2¹²⁰, 63, F₂, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
      - Simplex code S(3,4) [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹³⁵, 70, F₂, 2, 86) (dual of [(70, 2), 5, 87]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³⁵, 70, F₂, 2, 85) (dual of [(70, 2), 5, 86]-NRT-code)	[i]
3	Linear OOA(2¹³⁵, 70, F₂, 2, 84) (dual of [(70, 2), 5, 85]-NRT-code)	[i]
4	Linear OOA(2¹³⁵, 70, F₂, 2, 83) (dual of [(70, 2), 5, 84]-NRT-code)	[i]
5	Linear OOA(2¹³⁵, 70, F₂, 2, 82) (dual of [(70, 2), 5, 83]-NRT-code)	[i]
6	Linear OOA(2¹³⁵, 70, F₂, 2, 81) (dual of [(70, 2), 5, 82]-NRT-code)	[i]
7	Linear OOA(2¹³⁵, 70, F₂, 2, 80) (dual of [(70, 2), 5, 81]-NRT-code)	[i]
8	Linear OOA(2¹⁵¹, 78, F₂, 2, 96) (dual of [(78, 2), 5, 97]-NRT-code)	[i]		Juxtaposition for OOAs
9	Linear OOA(2²²³, 114, F₂, 2, 142) (dual of [(114, 2), 5, 143]-NRT-code)	[i]
10	Linear OOA(2²²⁹, 117, F₂, 2, 146) (dual of [(117, 2), 5, 147]-NRT-code)	[i]
11	Linear OOA(2¹³⁵, 35, F₂, 4, 87) (dual of [(35, 4), 5, 88]-NRT-code)	[i]		OOA Folding