MinT - Information on Result #1602454

Information on Result #1602454

Linear OOA(3⁹⁴, 4194305, F₃, 4, 9) (dual of [(4194305, 4), 16777126, 10]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3⁹⁴, 4194305, F₃, 2, 9) (dual of [(4194305, 2), 8388516, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴, 4, F₃, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,3) [i]
2. linear OOA(3⁹⁰, 4194301, F₃, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3⁹⁰, 8388602, F₃, 9) (dual of [8388602, 8388512, 10]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁹⁰, large, F₃, 9) (dual of [large, large−90, 10]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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(3⁹⁴, 4194304, F₃, 5, 9) (dual of [(4194304, 5), 20971426, 10]-NRT-code)	[i]		OOA Stacking with Additional Row
2	Linear OOA(3⁹⁴, 4194304, F₃, 12, 9) (dual of [(4194304, 12), 50331554, 10]-NRT-code)	[i]		OOA Stacking with Additional Row