MinT - Information on Result #2233107

Information on Result #2233107

Linear OA(3¹⁴⁶, 314, F₃, 42) (dual of [314, 168, 43]-code), using 1 times truncation based on linear OA(3¹⁴⁷, 315, F₃, 43) (dual of [315, 168, 44]-code), using

concatenation of two codes [i] based on
1. linear OA(81²¹, 63, F₈₁, 21) (dual of [63, 42, 22]-code or 63-arc in PG(20,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²¹, 81, F₈₁, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
    - Reedâ€“Solomon code RS(60,81) [i]
2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(3¹⁴⁶, 157, F₃, 2, 42) (dual of [(157, 2), 168, 43]-NRT-code)	[i]		OOA Folding