Information on Result #684285
Linear OA(587, 151, F5, 39) (dual of [151, 64, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(31) ⊂ Ce(30) based on
- linear OA(577, 125, F5, 39) (dual of [125, 48, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- 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 OA(587, 151, F5, 38) (dual of [151, 64, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(588, 152, F5, 39) (dual of [152, 64, 40]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(589, 153, F5, 39) (dual of [153, 64, 40]-code) | [i] | ||
| 4 | Linear OA(586, 150, F5, 38) (dual of [150, 64, 39]-code) | [i] | Truncation | |