MinT - Information on Result #2448452

Information on Result #2448452

Linear OOA(5¹⁴⁶, 75, F₅, 2, 124) (dual of [(75, 2), 4, 125]-NRT-code), using strength reduction based on linear OOA(5¹⁴⁶, 75, F₅, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(25¹³, 15, F₂₅, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,25)), using
  - discarding factors / shortening the dual code based on linear OA(25¹³, 25, F₂₅, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
    - Reedâ€“Solomon code RS(12,25) [i]
2. linear OOA(5⁸, 5, F₅, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;2,5) [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(5¹⁴⁴, 74, F₅, 2, 122) (dual of [(74, 2), 4, 123]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(5¹⁴², 73, F₅, 2, 120) (dual of [(73, 2), 4, 121]-NRT-code)	[i]
3	Linear OOA(5¹³⁸, 71, F₅, 2, 116) (dual of [(71, 2), 4, 117]-NRT-code)	[i]
4	Linear OOA(5¹³⁵, 69, F₅, 2, 113) (dual of [(69, 2), 3, 114]-NRT-code)	[i]
5	Linear OOA(5¹³⁴, 69, F₅, 2, 112) (dual of [(69, 2), 4, 113]-NRT-code)	[i]
6	Linear OOA(5¹³³, 68, F₅, 2, 111) (dual of [(68, 2), 3, 112]-NRT-code)	[i]
7	Linear OOA(5¹³¹, 67, F₅, 2, 109) (dual of [(67, 2), 3, 110]-NRT-code)	[i]
8	Linear OOA(5¹³⁰, 67, F₅, 2, 108) (dual of [(67, 2), 4, 109]-NRT-code)	[i]
9	Linear OOA(5¹²², 63, F₅, 2, 100) (dual of [(63, 2), 4, 101]-NRT-code)	[i]