MinT - Information on Result #2209555

Information on Result #2209555

Linear OA(5⁸⁰, 84, F₅, 63) (dual of [84, 4, 64]-code), using strength reduction based on linear OA(5⁸⁰, 84, F₅, 64) (dual of [84, 4, 65]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹², 14, F₂₅, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,25)), using
  - discarding factors / shortening the dual code based on linear OA(25¹², 25, F₂₅, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
    - Reedâ€“Solomon code RS(13,25) [i]
2. linear OA(5⁴, 6, F₅, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
  - extended Reedâ€“Solomon code RS_e(2,5) [i]
  - Simplex code S(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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(5⁸⁰, 42, F₅, 2, 63) (dual of [(42, 2), 4, 64]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5⁸⁰, 28, F₅, 3, 63) (dual of [(28, 3), 4, 64]-NRT-code)	[i]		OOA Folding