MinT - Information on Result #1701971

Information on Result #1701971

Linear OOA(2¹⁹⁶, 2798248, F₂, 8, 14) (dual of [(2798248, 8), 22385788, 15]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(2¹⁹⁶, 2798248, F₂, 3, 14) (dual of [(2798248, 3), 8394548, 15]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁵, 2047, F₂, 3, 7) (dual of [(2047, 3), 6106, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (28, 35, 2047)-net over F₂, using
    - nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹⁶¹, 2796201, F₂, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(2¹⁶¹, large, F₂, 14) (dual of [large, large−161, 15]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m 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(2¹⁹⁷, 2798248, F₂, 8, 14) (dual of [(2798248, 8), 22385787, 15]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁹⁸, 2798248, F₂, 8, 14) (dual of [(2798248, 8), 22385786, 15]-NRT-code)	[i]		OOA Duplication