Information on Result #1301274
Linear OA(535, 68, F5, 17) (dual of [68, 33, 18]-code), using construction X with Varšamov bound based on
- linear OA(534, 66, F5, 17) (dual of [66, 32, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(534, 63, F5, 17) (dual of [63, 29, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(531, 63, F5, 16) (dual of [63, 32, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(534, 67, F5, 16) (dual of [67, 33, 17]-code), using Gilbert–Varšamov bound and bm = 534 > Vbs−1(k−1) = 310397 343365 681024 665369 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s (see above)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.