Information on Result #684395
Linear OA(534, 70, F5, 15) (dual of [70, 36, 16]-code), using construction XX applied to Ce(15) ⊂ Ce(11) ⊂ Ce(10) based on
- linear OA(531, 63, F5, 16) (dual of [63, 32, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(528, 63, F5, 12) (dual of [63, 35, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(525, 63, F5, 11) (dual of [63, 38, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(534, 35, F5, 2, 15) (dual of [(35, 2), 36, 16]-NRT-code) | [i] | OOA Folding | |