MinT - Information on Result #2248085

Information on Result #2248085

Linear OA(7⁶², 80, F₇, 36) (dual of [80, 18, 37]-code), using 1 times truncation based on linear OA(7⁶³, 81, F₇, 37) (dual of [81, 18, 38]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁸, 27, F₄₉, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,49)), using
  - discarding factors / shortening the dual code based on linear OA(49¹⁸, 49, F₄₉, 18) (dual of [49, 31, 19]-code or 49-arc in PG(17,49)), using
    - Reedâ€“Solomon code RS(31,49) [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.

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(7⁶², 40, F₇, 2, 36) (dual of [(40, 2), 18, 37]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁶², 26, F₇, 3, 36) (dual of [(26, 3), 16, 37]-NRT-code)	[i]		OOA Folding