MinT - Information on Result #2798265

Information on Result #2798265

Linear OOA(3¹⁸⁶, 2097152, F₃, 4, 18) (dual of [(2097152, 4), 8388422, 19]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹⁸², 2097151, F₃, 4, 18) (dual of [(2097151, 4), 8388422, 19]-NRT-code), using

OOA 2-folding [i] based on linear OOA(3¹⁸², 4194302, F₃, 2, 18) (dual of [(4194302, 2), 8388422, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁸⁰, 4194301, F₃, 2, 18) (dual of [(4194301, 2), 8388422, 19]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3¹⁸⁰, 8388602, F₃, 18) (dual of [8388602, 8388422, 19]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹⁸⁰, large, F₃, 18) (dual of [large, large−180, 19]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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(3¹⁸⁷, 2097152, F₃, 4, 18) (dual of [(2097152, 4), 8388421, 19]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁸⁸, 2097152, F₃, 4, 18) (dual of [(2097152, 4), 8388420, 19]-NRT-code)	[i]		OOA Duplication