MinT - Information on Result #2230722

Information on Result #2230722

Linear OA(3¹³⁵, 159, F₃, 63) (dual of [159, 24, 64]-code), using 1 times truncation based on linear OA(3¹³⁶, 160, F₃, 64) (dual of [160, 24, 65]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹², 20, F₂₇, 12) (dual of [20, 8, 13]-code or 20-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 OA(3⁵, 8, F₃, 4) (dual of [8, 3, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
    - Golay code G(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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹³⁵, 53, F₃, 3, 63) (dual of [(53, 3), 24, 64]-NRT-code)	[i]		OOA Folding