Information on Result #2247243
Linear OA(597, 390633, F5, 15) (dual of [390633, 390536, 16]-code), using 1 times truncation based on linear OA(598, 390634, F5, 16) (dual of [390634, 390536, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(597, 195316, F5, 2, 15) (dual of [(195316, 2), 390535, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(597, 130211, F5, 3, 15) (dual of [(130211, 3), 390536, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(597, 55804, F5, 15, 15) (dual of [(55804, 15), 836963, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |