MinT - Information on Result #2465391

Information on Result #2465391

Linear OOA(3¹¹¹, 91, F₃, 2, 44) (dual of [(91, 2), 71, 45]-NRT-code), using 1 step truncation based on linear OOA(3¹¹², 92, F₃, 2, 45) (dual of [(92, 2), 72, 46]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(27²², 23, F₂₇, 2, 22) (dual of [(23, 2), 24, 23]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(27²², 27, F₂₇, 2, 22) (dual of [(27, 2), 32, 23]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;32,27) [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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(3¹¹¹, 45, F₃, 4, 44) (dual of [(45, 4), 69, 45]-NRT-code)	[i]		OOA Folding