MinT - Information on Result #641022

Information on Result #641022

Linear OA(3¹³⁹, 144, F₃, 93) (dual of [144, 5, 94]-code), using juxtaposition based on

linear OA(3¹⁸, 23, F₃, 12) (dual of [23, 5, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁸, 26, F₃, 12) (dual of [26, 8, 13]-code), using
  - 2 times truncation [i] based on linear OA(3²⁰, 28, F₃, 14) (dual of [28, 8, 15]-code), using
    - contraction [i] based on linear OA(3⁴⁸, 56, F₃, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56Â | 3⁶âˆ’1, defining interval IÂ =Â {0,1,…,28}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [i]
linear OA(3¹¹⁶, 121, F₃, 80) (dual of [121, 5, 81]-code), using
- Simplex code S(5,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 121Â | 3⁵âˆ’1, defining interval IÂ =Â [0,75], and minimum distance dÂ â‰¥ |{5,15,25,…,−52}|+1Â =Â 81 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹³⁹, 72, F₃, 2, 93) (dual of [(72, 2), 5, 94]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹³⁹, 48, F₃, 3, 93) (dual of [(48, 3), 5, 94]-NRT-code)	[i]		OOA Folding