Information on Result #682025
Linear OA(440, 70, F4, 19) (dual of [70, 30, 20]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
- linear OA(437, 64, F4, 21) (dual of [64, 27, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(440, 70, F4, 18) (dual of [70, 30, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(439, 69, F4, 18) (dual of [69, 30, 19]-code) | [i] | Truncation | |
| 3 | Linear OA(441, 72, F4, 19) (dual of [72, 31, 20]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(440, 35, F4, 2, 19) (dual of [(35, 2), 30, 20]-NRT-code) | [i] | OOA Folding | |