MinT - Information on Result #2621828

Information on Result #2621828

Linear OOA(3¹¹⁶, 40, F₃, 3, 97) (dual of [(40, 3), 4, 98]-NRT-code), using strength reduction based on linear OOA(3¹¹⁶, 40, F₃, 3, 98) (dual of [(40, 3), 4, 99]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(9⁸, 10, F₉, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
  - extended Reedâ€“Solomon code RS_e(2,9) [i]
  - Simplex code S(2,9) [i]
2. linear OOA(3¹⁰, 4, F₃, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;2,3) [i]

Mode: Constructive and 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		Method
1	Linear OOA(3¹¹³, 39, F₃, 3, 94) (dual of [(39, 3), 4, 95]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁰⁹, 37, F₃, 3, 90) (dual of [(37, 3), 2, 91]-NRT-code)	[i]
3	Linear OOA(3¹⁰³, 35, F₃, 3, 84) (dual of [(35, 3), 2, 85]-NRT-code)	[i]
4	Linear OOA(3⁹⁹, 34, F₃, 3, 80) (dual of [(34, 3), 3, 81]-NRT-code)	[i]
5	Linear OOA(3⁹⁸, 34, F₃, 3, 79) (dual of [(34, 3), 4, 80]-NRT-code)	[i]