MinT - Information on Result #2241073

Information on Result #2241073

Linear OA(4¹³¹, 227, F₄, 50) (dual of [227, 96, 51]-code), using 1 times truncation based on linear OA(4¹³², 228, F₄, 51) (dual of [228, 96, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁵, 57, F₆₄, 25) (dual of [57, 32, 26]-code or 57-arc in PG(24,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
    - Reedâ€“Solomon code RS(39,64) [i]
2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.

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(4¹³¹, 113, F₄, 2, 50) (dual of [(113, 2), 95, 51]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹³¹, 75, F₄, 3, 50) (dual of [(75, 3), 94, 51]-NRT-code)	[i]		OOA Folding