MinT - Information on Result #2240325

Information on Result #2240325

Linear OA(4¹¹⁷, 207, F₄, 44) (dual of [207, 90, 45]-code), using 1 times truncation based on linear OA(4¹¹⁸, 208, F₄, 45) (dual of [208, 90, 46]-code), using

concatenation of two codes [i] based on
1. linear OA(64²², 52, F₆₄, 22) (dual of [52, 30, 23]-code or 52-arc in PG(21,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²², 64, F₆₄, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
    - Reedâ€“Solomon code RS(42,64) [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(4¹¹⁷, 103, F₄, 2, 44) (dual of [(103, 2), 89, 45]-NRT-code)	[i]		OOA Folding