MinT - Information on Result #2248316

Information on Result #2248316

Linear OA(7⁹⁸, 114, F₇, 63) (dual of [114, 16, 64]-code), using 2 times truncation based on linear OA(7¹⁰⁰, 116, F₇, 65) (dual of [116, 16, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(49²¹, 29, F₄₉, 21) (dual of [29, 8, 22]-code or 29-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(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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁹⁸, 57, F₇, 2, 63) (dual of [(57, 2), 16, 64]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁹⁸, 38, F₇, 3, 63) (dual of [(38, 3), 16, 64]-NRT-code)	[i]		OOA Folding