Information on Result #1324220
Linear OA(4250, 262234, F4, 34) (dual of [262234, 261984, 35]-code), using construction X with Varšamov bound based on
- linear OA(4245, 262226, F4, 34) (dual of [262226, 261981, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(419, 82, F4, 8) (dual of [82, 63, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 87, F4, 8) (dual of [87, 68, 9]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- linear OA(4245, 262229, F4, 31) (dual of [262229, 261984, 32]-code), using Gilbert–Varšamov bound and bm = 4245 > Vbs−1(k−1) = 2 816083 628261 505344 241177 546895 823246 340959 401834 344353 408167 698641 137816 733987 151063 921841 516718 932342 893243 298058 167154 127756 299029 816666 540912 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
Mode: 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(4250, 131117, F4, 2, 34) (dual of [(131117, 2), 261984, 35]-NRT-code) | [i] | OOA Folding | |