Information on Result #737459
Linear OA(5116, 1953168, F5, 16) (dual of [1953168, 1953052, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(573, 1953125, F5, 11) (dual of [1953125, 1953052, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(57, 43, F5, 4) (dual of [43, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), 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 OA(5118, 1953170, F5, 16) (dual of [1953170, 1953052, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5119, 1953171, F5, 16) (dual of [1953171, 1953052, 17]-code) | [i] | ||
| 3 | Linear OA(5120, 1953172, F5, 16) (dual of [1953172, 1953052, 17]-code) | [i] | ||
| 4 | Linear OA(5118, 1953171, F5, 16) (dual of [1953171, 1953053, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(5119, 1953173, F5, 16) (dual of [1953173, 1953054, 17]-code) | [i] | ||
| 6 | Linear OA(5120, 1953175, F5, 16) (dual of [1953175, 1953055, 17]-code) | [i] | ||
| 7 | Linear OOA(5116, 976584, F5, 2, 16) (dual of [(976584, 2), 1953052, 17]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(5116, 651056, F5, 3, 16) (dual of [(651056, 3), 1953052, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(5116, 244146, F5, 16, 16) (dual of [(244146, 16), 3906220, 17]-NRT-code) | [i] | OA Folding and Stacking | |