Information on Result #2224038
Linear OA(2193, 209, F2, 90) (dual of [209, 16, 91]-code), using 1 times truncation based on linear OA(2194, 210, F2, 91) (dual of [210, 16, 92]-code), using
- concatenation of two codes [i] based on
- linear OA(462, 70, F4, 45) (dual of [70, 8, 46]-code), using
- construction XX applied to Ce(46) ⊂ Ce(42) ⊂ Ce(41) [i] based on
- linear OA(460, 64, F4, 47) (dual of [64, 4, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(456, 64, F4, 42) (dual of [64, 8, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 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]
- construction XX applied to Ce(46) ⊂ Ce(42) ⊂ Ce(41) [i] based on
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(462, 70, F4, 45) (dual of [70, 8, 46]-code), 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.
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Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2208, 225, F2, 90) (dual of [225, 17, 91]-code) | [i] | Construction X with Varšamov Bound | |