Information on Result #684339
Linear OA(530, 140, F5, 11) (dual of [140, 110, 12]-code), using construction XX applied to Ce(10) ⊂ Ce(6) ⊂ Ce(5) based on
- linear OA(525, 125, F5, 11) (dual of [125, 100, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(516, 125, F5, 7) (dual of [125, 109, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(530, 70, F5, 2, 11) (dual of [(70, 2), 110, 12]-NRT-code) | [i] | OOA Folding | |