MinT - Information on Result #2248564

Information on Result #2248564

Linear OA(7⁸⁹, 143, F₇, 42) (dual of [143, 54, 43]-code), using 1 times truncation based on linear OA(7⁹⁰, 144, F₇, 43) (dual of [144, 54, 44]-code), using

concatenation of two codes [i] based on
1. linear OA(49²¹, 48, F₄₉, 21) (dual of [48, 27, 22]-code or 48-arc in PG(20,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²¹, 49, F₄₉, 21) (dual of [49, 28, 22]-code or 49-arc in PG(20,49)), using
    - Reedâ€“Solomon code RS(28,49) [i]
2. linear OA(7¹, 3, F₇, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(7¹, s, F₇, 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(7⁸⁹, 71, F₇, 2, 42) (dual of [(71, 2), 53, 43]-NRT-code)	[i]		OOA Folding