MinT - Information on Result #2216377

Information on Result #2216377

Linear OA(9¹³⁸, 150, F₉, 98) (dual of [150, 12, 99]-code), using strength reduction based on linear OA(9¹³⁸, 150, F₉, 99) (dual of [150, 12, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁴, 30, F₈₁, 24) (dual of [30, 6, 25]-code or 30-arc in PG(23,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁴, 81, F₈₁, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
    - Reedâ€“Solomon code RS(57,81) [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(9¹³⁸, 75, F₉, 2, 98) (dual of [(75, 2), 12, 99]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³⁸, 50, F₉, 3, 98) (dual of [(50, 3), 12, 99]-NRT-code)	[i]		OOA Folding