MinT - Information on Result #2233431

Information on Result #2233431

Linear OA(3¹⁵⁴, 334, F₃, 44) (dual of [334, 180, 45]-code), using 1 times truncation based on linear OA(3¹⁵⁵, 335, F₃, 45) (dual of [335, 180, 46]-code), using

concatenation of two codes [i] based on
1. linear OA(81²², 67, F₈₁, 22) (dual of [67, 45, 23]-code or 67-arc in PG(21,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²², 81, F₈₁, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
    - Reedâ€“Solomon code RS(59,81) [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(3¹⁵⁴, 167, F₃, 2, 44) (dual of [(167, 2), 180, 45]-NRT-code)	[i]		OOA Folding