MinT - Information on Result #2240988

Information on Result #2240988

Linear OA(4¹²⁸, 227, F₄, 48) (dual of [227, 99, 49]-code), using 1 times truncation based on linear OA(4¹²⁹, 228, F₄, 49) (dual of [228, 99, 50]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁴, 57, F₆₄, 24) (dual of [57, 33, 25]-code or 57-arc in PG(23,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
    - Reedâ€“Solomon code RS(40,64) [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(4¹²⁸, 113, F₄, 2, 48) (dual of [(113, 2), 98, 49]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹²⁸, 75, F₄, 3, 48) (dual of [(75, 3), 97, 49]-NRT-code)	[i]		OOA Folding