MinT - Information on Result #2225895

Information on Result #2225895

Linear OA(2¹⁷⁹, 377, F₂, 42) (dual of [377, 198, 43]-code), using 1 times truncation based on linear OA(2¹⁸⁰, 378, F₂, 43) (dual of [378, 198, 44]-code), using

concatenation of two codes [i] based on
1. linear OA(64²¹, 54, F₆₄, 21) (dual of [54, 33, 22]-code or 54-arc in PG(20,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
    - Reedâ€“Solomon code RS(43,64) [i]
2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 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(2¹⁷⁹, 188, F₂, 2, 42) (dual of [(188, 2), 197, 43]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁷⁹, 125, F₂, 3, 42) (dual of [(125, 3), 196, 43]-NRT-code)	[i]		OOA Folding