Information on Result #696194
Linear OA(27101, 366, F27, 57) (dual of [366, 265, 58]-code), using construction X applied to Ce(56) ⊂ Ce(55) based on
- linear OA(27101, 365, F27, 57) (dual of [365, 264, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(27100, 365, F27, 56) (dual of [365, 265, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27101, 366, F27, 56) (dual of [366, 265, 57]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(27102, 367, F27, 57) (dual of [367, 265, 58]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2799, 364, F27, 55) (dual of [364, 265, 56]-code) | [i] | Truncation | |
| 4 | Linear OA(2798, 363, F27, 54) (dual of [363, 265, 55]-code) | [i] | ||
| 5 | Linear OA(2797, 362, F27, 53) (dual of [362, 265, 54]-code) | [i] | ||
| 6 | Linear OA(27102, 370, F27, 57) (dual of [370, 268, 58]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(27102, 368, F27, 57) (dual of [368, 266, 58]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OOA(27101, 183, F27, 2, 57) (dual of [(183, 2), 265, 58]-NRT-code) | [i] | OOA Folding | |