MinT - Information on Result #2461711

Information on Result #2461711

Linear OOA(2²⁵¹, 335, F₂, 2, 52) (dual of [(335, 2), 419, 53]-NRT-code), using 1 step truncation based on linear OOA(2²⁵², 336, F₂, 2, 53) (dual of [(336, 2), 420, 54]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(64²⁶, 48, F₆₄, 2, 26) (dual of [(48, 2), 70, 27]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64²⁶, 64, F₆₄, 2, 26) (dual of [(64, 2), 102, 27]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;102,64) [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(2²⁵¹, 167, F₂, 4, 52) (dual of [(167, 4), 417, 53]-NRT-code)	[i]		OOA Folding