Information on Result #682441
Linear OA(558, 78133, F5, 11) (dual of [78133, 78075, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 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 OA(557, 78132, F5, 10) (dual of [78132, 78075, 11]-code) | [i] | Truncation | |
| 2 | Linear OOA(558, 39066, F5, 2, 11) (dual of [(39066, 2), 78074, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(558, 26044, F5, 3, 11) (dual of [(26044, 3), 78074, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(558, 15626, F5, 11, 11) (dual of [(15626, 11), 171828, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |