MinT - Information on Result #2431392

Information on Result #2431392

Linear OOA(3¹¹¹, 60, F₃, 2, 75) (dual of [(60, 2), 9, 76]-NRT-code), using strength reduction based on linear OOA(3¹¹¹, 60, F₃, 2, 77) (dual of [(60, 2), 9, 78]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹², 15, F₂₇, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
    - Reedâ€“Solomon code RS(15,27) [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		This result only	Method
1	Linear OOA(3¹¹¹, 30, F₃, 4, 75) (dual of [(30, 4), 9, 76]-NRT-code)	[i]		OOA Folding