Information on Result #836049
Linear OOA(580, 7828, F5, 2, 16) (dual of [(7828, 2), 15576, 17]-NRT-code), using OOA 2-folding based on linear OA(580, 15656, F5, 16) (dual of [15656, 15576, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(579, 15655, F5, 16) (dual of [15655, 15576, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
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(580, 7828, F5, 2, 15) (dual of [(7828, 2), 15576, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(582, 7829, F5, 2, 16) (dual of [(7829, 2), 15576, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(581, 7828, F5, 2, 16) (dual of [(7828, 2), 15575, 17]-NRT-code) | [i] | OOA Duplication | |