MinT - Information on Result #2211896

Information on Result #2211896

Linear OA(7⁸⁴, 96, F₇, 55) (dual of [96, 12, 56]-code), using strength reduction based on linear OA(7⁸⁴, 96, F₇, 56) (dual of [96, 12, 57]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁸, 24, F₄₉, 18) (dual of [24, 6, 19]-code or 24-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(7², 4, F₇, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
  - discarding factors / shortening the dual code based on linear OA(7², 7, F₇, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
    - Reedâ€“Solomon code RS(5,7) [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(7⁸⁴, 48, F₇, 2, 55) (dual of [(48, 2), 12, 56]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁸⁴, 32, F₇, 3, 55) (dual of [(32, 3), 12, 56]-NRT-code)	[i]		OOA Folding