MinT - Information on Result #2436726

Information on Result #2436726

Linear OOA(3²²⁸, 144, F₃, 2, 108) (dual of [(144, 2), 60, 109]-NRT-code), using strength reduction based on linear OOA(3²²⁸, 144, F₃, 2, 109) (dual of [(144, 2), 60, 110]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(81²¹, 36, F₈₁, 21) (dual of [36, 15, 22]-code or 36-arc in PG(20,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²¹, 81, F₈₁, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
    - Reedâ€“Solomon code RS(60,81) [i]
2. linear OOA(3⁴, 4, F₃, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,3) [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		Method
1	Linear OOA(3²²⁹, 144, F₃, 2, 108) (dual of [(144, 2), 59, 109]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²²⁷, 143, F₃, 2, 107) (dual of [(143, 2), 59, 108]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(3²²⁶, 143, F₃, 2, 106) (dual of [(143, 2), 60, 107]-NRT-code)	[i]
4	Linear OOA(3²²⁵, 142, F₃, 2, 105) (dual of [(142, 2), 59, 106]-NRT-code)	[i]
5	Linear OOA(3²²⁸, 72, F₃, 4, 108) (dual of [(72, 4), 60, 109]-NRT-code)	[i]	OOA Folding