MinT - Information on Result #1079230

Information on Result #1079230

Linear OOA(3¹⁸⁸, large, F₃, 4, 12), using trace code based on linear OOA(81⁴⁷, 2097151, F₈₁, 4, 12) (dual of [(2097151, 4), 8388557, 13]-NRT-code), using

OOA 2-folding [i] based on linear OOA(81⁴⁷, 4194302, F₈₁, 2, 12) (dual of [(4194302, 2), 8388557, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(81⁴⁵, 4194301, F₈₁, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(81⁴⁵, 8388602, F₈₁, 12) (dual of [8388602, 8388557, 13]-code), using
    - discarding factors / shortening the dual code based on linear OA(81⁴⁵, large, F₈₁, 12) (dual of [large, large−45, 13]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹⁸⁸, large, F₃, 4, 11)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁸⁸, large, F₃, 4, 10)	[i]
3	Linear OOA(3¹⁸⁸, large, F₃, 4, 9)	[i]
4	Linear OOA(3¹⁸⁸, large, F₃, 4, 8)	[i]
5	Linear OOA(3¹⁸⁸, large, F₃, 4, 7)	[i]
6	Linear OOA(3¹⁸⁸, large, F₃, 4, 6)	[i]
7	Linear OOA(3¹⁸⁸, large, F₃, 4, 5)	[i]
8	Linear OOA(3¹⁸⁸, large, F₃, 4, 4)	[i]
9	Linear OOA(3¹⁸⁸, large, F₃, 4, 3)	[i]