MinT - Information on Result #2251358

Information on Result #2251358

Linear OA(8¹⁷⁰, 198, F₈, 108) (dual of [198, 28, 109]-code), using 2 times truncation based on linear OA(8¹⁷², 200, F₈, 110) (dual of [200, 28, 111]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁶, 50, F₆₄, 36) (dual of [50, 14, 37]-code or 50-arc in PG(35,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁶, 64, F₆₄, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
    - Reedâ€“Solomon code RS(28,64) [i]
2. linear OA(8², 4, F₈, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
  - discarding factors / shortening the dual code based on linear OA(8², 8, F₈, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
    - Reedâ€“Solomon code RS(6,8) [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		Method
1	Linear OA(8¹⁷³, 201, F₈, 108) (dual of [201, 28, 109]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(8¹⁷⁰, 99, F₈, 2, 108) (dual of [(99, 2), 28, 109]-NRT-code)	[i]	OOA Folding
3	Linear OOA(8¹⁷⁰, 66, F₈, 3, 108) (dual of [(66, 3), 28, 109]-NRT-code)	[i]	OOA Folding