Information on Result #673271
Linear OA(2148, 516, F2, 35) (dual of [516, 368, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
- linear OA(2145, 512, F2, 35) (dual of [512, 367, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2136, 512, F2, 31) (dual of [512, 376, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [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(2147, 515, F2, 34) (dual of [515, 368, 35]-code) | [i] | Truncation | |
| 2 | Linear OOA(2148, 258, F2, 2, 35) (dual of [(258, 2), 368, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2148, 172, F2, 3, 35) (dual of [(172, 3), 368, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(2148, 129, F2, 4, 35) (dual of [(129, 4), 368, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(2148, 103, F2, 5, 35) (dual of [(103, 5), 367, 36]-NRT-code) | [i] | ||