MinT - Information on Result #1524102

Information on Result #1524102

Linear OOA(3¹⁴⁶, 4194312, F₃, 3, 14) (dual of [(4194312, 3), 12582790, 15]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹⁴⁶, 4194312, F₃, 2, 14) (dual of [(4194312, 2), 8388478, 15]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3¹⁰, 11, F₃, 2, 7) (dual of [(11, 2), 12, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (3, 10, 11)-net over F₃, using
    - linear code embedding found in a computer search [i]
2. linear OOA(3¹³⁶, 4194301, F₃, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3¹³⁶, 8388602, F₃, 14) (dual of [8388602, 8388466, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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(3¹⁴⁶, 2097156, F₃, 5, 14) (dual of [(2097156, 5), 10485634, 15]-NRT-code)	[i]		OOA Folding