MinT - Information on Result #2250541

Information on Result #2250541

Linear OA(8¹³⁹, 153, F₈, 97) (dual of [153, 14, 98]-code), using 2 times truncation based on linear OA(8¹⁴¹, 155, F₈, 99) (dual of [155, 14, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁴, 31, F₆₄, 24) (dual of [31, 7, 25]-code or 31-arc in PG(23,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
    - Reedâ€“Solomon code RS(40,64) [i]
2. linear OA(8³, 5, F₈, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
  - discarding factors / shortening the dual code based on linear OA(8³, 8, F₈, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
    - Reedâ€“Solomon code RS(5,8) [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(8¹³⁹, 76, F₈, 2, 97) (dual of [(76, 2), 13, 98]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹³⁹, 51, F₈, 3, 97) (dual of [(51, 3), 14, 98]-NRT-code)	[i]		OOA Folding