MinT - Information on Result #1536903

Information on Result #1536903

Linear OOA(4¹³³, 40241, F₄, 3, 21) (dual of [(40241, 3), 120590, 22]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹³³, 40241, F₄, 21) (dual of [40241, 40108, 22]-code), using

discarding factors / shortening the dual code based on linear OA(4¹³³, 65552, F₄, 21) (dual of [65552, 65419, 22]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4¹², 16, F₄, 10) (dual of [16, 4, 11]-code), using
    - 1 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(4¹²¹, 65536, F₄, 21) (dual of [65536, 65415, 22]-code), using
    - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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(4¹³³, 10060, F₄, 27, 21) (dual of [(10060, 27), 271487, 22]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row