MinT - Information on Result #2251304

Information on Result #2251304

Linear OA(8¹⁵⁷, 187, F₈, 97) (dual of [187, 30, 98]-code), using 1 times truncation based on linear OA(8¹⁵⁸, 188, F₈, 98) (dual of [188, 30, 99]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 47, F₆₄, 32) (dual of [47, 15, 33]-code or 47-arc in PG(31,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³², 64, F₆₄, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
    - Reedâ€“Solomon code RS(32,64) [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		This result only	Method
1	Linear OOA(8¹⁵⁷, 93, F₈, 2, 97) (dual of [(93, 2), 29, 98]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁵⁷, 62, F₈, 3, 97) (dual of [(62, 3), 29, 98]-NRT-code)	[i]		OOA Folding