Information on Result #680082
Linear OA(4210, 1385, F4, 47) (dual of [1385, 1175, 48]-code), using construction XX applied to Ce(46) ⊂ Ce(44) ⊂ Ce(41) based on
- linear OA(4205, 1366, F4, 47) (dual of [1366, 1161, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4193, 1366, F4, 45) (dual of [1366, 1173, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4187, 1366, F4, 42) (dual of [1366, 1179, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 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(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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 OOA(4210, 692, F4, 2, 47) (dual of [(692, 2), 1174, 48]-NRT-code) | [i] | OOA Folding | |