Information on Result #683496
Linear OA(536, 636, F5, 11) (dual of [636, 600, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(533, 625, F5, 11) (dual of [625, 592, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(525, 625, F5, 8) (dual of [625, 600, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(53, 11, F5, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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 OOA(536, 318, F5, 2, 11) (dual of [(318, 2), 600, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(536, 212, F5, 3, 11) (dual of [(212, 3), 600, 12]-NRT-code) | [i] | ||