MinT - Information on Result #2253538

Information on Result #2253538

Linear OA(9¹³⁷, 153, F₉, 93) (dual of [153, 16, 94]-code), using 2 times truncation based on linear OA(9¹³⁹, 155, F₉, 95) (dual of [155, 16, 96]-code), using

concatenation of two codes [i] based on
1. linear OA(81²³, 31, F₈₁, 23) (dual of [31, 8, 24]-code or 31-arc in PG(22,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²³, 81, F₈₁, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
    - Reedâ€“Solomon code RS(58,81) [i]
2. linear OA(9³, 5, F₉, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
  - discarding factors / shortening the dual code based on linear OA(9³, 9, F₉, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
    - Reedâ€“Solomon code RS(6,9) [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(9¹³⁷, 76, F₉, 2, 93) (dual of [(76, 2), 15, 94]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³⁷, 51, F₉, 3, 93) (dual of [(51, 3), 16, 94]-NRT-code)	[i]		OOA Folding