MinT - Information on Result #895307

Information on Result #895307

Linear OOA(3²³⁹, 4195394, F₃, 2, 20) (dual of [(4195394, 2), 8390549, 21]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁴³, 1093, F₃, 2, 10) (dual of [(1093, 2), 2143, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁴³, 2186, F₃, 10) (dual of [2186, 2143, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁴³, 2187, F₃, 10) (dual of [2187, 2144, 11]-code), using
    - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]
linear OOA(3¹⁹⁶, 4194301, F₃, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁹⁶, 8388602, F₃, 20) (dual of [8388602, 8388406, 21]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²³⁹, 2097697, F₃, 4, 20) (dual of [(2097697, 4), 8390549, 21]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³⁹, 839078, F₃, 22, 20) (dual of [(839078, 22), 18459477, 21]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row