MinT - Information on Result #2241638

Information on Result #2241638

Linear OA(4¹⁵², 227, F₄, 64) (dual of [227, 75, 65]-code), using 1 times truncation based on linear OA(4¹⁵³, 228, F₄, 65) (dual of [228, 75, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 57, F₆₄, 32) (dual of [57, 25, 33]-code or 57-arc in PG(31,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³², 64, F₆₄, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
    - Reedâ€“Solomon code RS(32,64) [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(4¹⁵², 113, F₄, 2, 64) (dual of [(113, 2), 74, 65]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁵², 75, F₄, 3, 64) (dual of [(75, 3), 73, 65]-NRT-code)	[i]		OOA Folding