MinT - Information on Result #2797888

Information on Result #2797888

Linear OOA(3¹⁹⁸, 4194302, F₃, 4, 14) (dual of [(4194302, 4), 16777010, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹⁹⁴, 4194301, F₃, 4, 14) (dual of [(4194301, 4), 16777010, 15]-NRT-code), using

OOA 2-folding [i] based on linear OOA(3¹⁹⁴, 8388602, F₃, 2, 14) (dual of [(8388602, 2), 16777010, 15]-NRT-code), using
- trace code [i] based on linear OOA(9⁹⁷, 4194301, F₉, 2, 14) (dual of [(4194301, 2), 8388505, 15]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(9⁹⁷, 8388602, F₉, 14) (dual of [8388602, 8388505, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(9⁹⁷, large, F₉, 14) (dual of [large, large−97, 15]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and 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(3¹⁹⁹, 4194302, F₃, 4, 14) (dual of [(4194302, 4), 16777009, 15]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁰⁰, 4194302, F₃, 4, 14) (dual of [(4194302, 4), 16777008, 15]-NRT-code)	[i]		OOA Duplication