MinT - Information on Result #2250158

Information on Result #2250158

Linear OA(8¹³², 142, F₈, 97) (dual of [142, 10, 98]-code), using 2 times truncation based on linear OA(8¹³⁴, 144, F₈, 99) (dual of [144, 10, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁹, 24, F₆₄, 19) (dual of [24, 5, 20]-code or 24-arc in PG(18,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁹, 64, F₆₄, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
    - Reedâ€“Solomon code RS(45,64) [i]
2. linear OA(8⁴, 6, F₈, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
  - discarding factors / shortening the dual code based on linear OA(8⁴, 8, F₈, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
    - Reedâ€“Solomon code RS(4,8) [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(8¹³², 71, F₈, 2, 97) (dual of [(71, 2), 10, 98]-NRT-code)	[i]		OOA Folding