Information on Result #684298
Linear OA(576, 140, F5, 36) (dual of [140, 64, 37]-code), using construction XX applied to Ce(36) ⊂ Ce(31) ⊂ Ce(30) based on
- linear OA(571, 125, F5, 37) (dual of [125, 54, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(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 OA(576, 140, F5, 35) (dual of [140, 64, 36]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(576, 140, F5, 34) (dual of [140, 64, 35]-code) | [i] | ||
| 3 | Linear OA(579, 143, F5, 36) (dual of [143, 64, 37]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(574, 138, F5, 34) (dual of [138, 64, 35]-code) | [i] | Truncation | |
| 5 | Linear OA(577, 142, F5, 36) (dual of [142, 65, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(576, 70, F5, 2, 36) (dual of [(70, 2), 64, 37]-NRT-code) | [i] | OOA Folding | |