MinT - Information on Result #2798341

Information on Result #2798341

Linear OOA(3¹⁸⁷, 2097152, F₃, 4, 19) (dual of [(2097152, 4), 8388421, 20]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹⁸³, 2097151, F₃, 4, 19) (dual of [(2097151, 4), 8388421, 20]-NRT-code), using

OOA 2-folding [i] based on linear OOA(3¹⁸³, 4194302, F₃, 2, 19) (dual of [(4194302, 2), 8388421, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁸¹, 4194301, F₃, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3¹⁸¹, 8388602, F₃, 19) (dual of [8388602, 8388421, 20]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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(3¹⁸⁸, 2097152, F₃, 4, 19) (dual of [(2097152, 4), 8388420, 20]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁸⁹, 2097152, F₃, 4, 19) (dual of [(2097152, 4), 8388419, 20]-NRT-code)	[i]		OOA Duplication