MinT - Information on Result #1605410

Information on Result #1605410

Linear OOA(3¹⁵⁵, 3203509, F₃, 4, 15) (dual of [(3203509, 4), 12813881, 16]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹⁵⁵, 3203509, F₃, 2, 15) (dual of [(3203509, 2), 6406863, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁵⁵, 4194303, F₃, 2, 15) (dual of [(4194303, 2), 8388451, 16]-NRT-code), using
- 3¹ times duplication [i] based on linear OOA(3¹⁵⁴, 4194303, F₃, 2, 15) (dual of [(4194303, 2), 8388452, 16]-NRT-code), using
  - 2 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁵⁰, 4194301, F₃, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁵⁰, 8388602, F₃, 15) (dual of [8388602, 8388452, 16]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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(3¹⁵⁵, 1601754, F₃, 20, 15) (dual of [(1601754, 20), 32034925, 16]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row