MinT - Information on Result #1537993

Information on Result #1537993

Linear OOA(4¹⁵², 532749, F₄, 3, 19) (dual of [(532749, 3), 1598095, 20]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹⁵², 532749, F₄, 19) (dual of [532749, 532597, 20]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁵², 1048592, F₄, 19) (dual of [1048592, 1048440, 20]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4¹¹, 15, F₄, 9) (dual of [15, 4, 10]-code), using
    - 2 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 4) [i]
  2. linear OA(4¹⁴¹, 1048577, F₄, 19) (dual of [1048577, 1048436, 20]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 1048577Â | 4²⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(4¹⁵², 177582, F₄, 21, 19) (dual of [(177582, 21), 3729070, 20]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row