MinT - Information on Result #1540994

Information on Result #1540994

Linear OOA(4¹⁹⁶, 3710581, F₄, 3, 22) (dual of [(3710581, 3), 11131547, 23]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(4¹⁹⁶, 3710581, F₄, 2, 22) (dual of [(3710581, 2), 7420966, 23]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4¹⁹⁶, 4194302, F₄, 2, 22) (dual of [(4194302, 2), 8388408, 23]-NRT-code), using
- 4¹ times duplication [i] based on linear OOA(4¹⁹⁵, 4194302, F₄, 2, 22) (dual of [(4194302, 2), 8388409, 23]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(4¹⁹³, 4194301, F₄, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(4¹⁹³, 8388602, F₄, 22) (dual of [8388602, 8388409, 23]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹⁹³, large, F₄, 22) (dual of [large, large−193, 23]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: 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(4¹⁹⁶, 927645, F₄, 27, 22) (dual of [(927645, 27), 25046219, 23]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row