Information on Result #682078
Linear OA(446, 73, F4, 24) (dual of [73, 27, 25]-code), using construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(20) based on
- linear OA(444, 64, F4, 26) (dual of [64, 20, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(438, 64, F4, 22) (dual of [64, 26, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(40, 1, F4, 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.
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(446, 73, F4, 23) (dual of [73, 27, 24]-code) | [i] | Strength Reduction | |