Information on Result #1371214
Linear OOA(5119, 7833, F5, 2, 23) (dual of [(7833, 2), 15547, 24]-NRT-code), using OOA 2-folding based on linear OA(5119, 15666, F5, 23) (dual of [15666, 15547, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(5118, 15664, F5, 23) (dual of [15664, 15546, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(59, 39, F5, 5) (dual of [39, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(5118, 15665, F5, 22) (dual of [15665, 15547, 23]-code), using Gilbert–Varšamov bound and bm = 5118 > Vbs−1(k−1) = 1052 429252 651017 206862 308889 282280 727080 048496 491463 835386 018873 391322 736752 986945 [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, using
- linear OA(5118, 15664, F5, 23) (dual of [15664, 15546, 24]-code), using
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
None.