MinT - Information on Result #2431148

Information on Result #2431148

Linear OOA(3¹⁰³, 56, F₃, 2, 70) (dual of [(56, 2), 9, 71]-NRT-code), using strength reduction based on linear OOA(3¹⁰³, 56, F₃, 2, 71) (dual of [(56, 2), 9, 72]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹¹, 14, F₂₇, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹¹, 27, F₂₇, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
    - Reedâ€“Solomon code RS(16,27) [i]
2. linear OOA(3⁵, 4, F₃, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,3) [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(3¹⁰², 55, F₃, 2, 69) (dual of [(55, 2), 8, 70]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3¹⁰¹, 55, F₃, 2, 68) (dual of [(55, 2), 9, 69]-NRT-code)	[i]
3	Linear OOA(3¹⁰⁰, 54, F₃, 2, 67) (dual of [(54, 2), 8, 68]-NRT-code)	[i]
4	Linear OOA(3⁹⁹, 54, F₃, 2, 66) (dual of [(54, 2), 9, 67]-NRT-code)	[i]
5	Linear OOA(3⁹⁸, 53, F₃, 2, 65) (dual of [(53, 2), 8, 66]-NRT-code)	[i]
6	Linear OOA(3⁹⁷, 53, F₃, 2, 64) (dual of [(53, 2), 9, 65]-NRT-code)	[i]
7	Linear OOA(3⁹⁶, 52, F₃, 2, 63) (dual of [(52, 2), 8, 64]-NRT-code)	[i]
8	Linear OOA(3¹⁰³, 28, F₃, 4, 70) (dual of [(28, 4), 9, 71]-NRT-code)	[i]	OOA Folding