Information on Result #1301873
Linear OA(5136, 78184, F5, 22) (dual of [78184, 78048, 23]-code), using construction X with Varšamov bound based on
- linear OA(5135, 78182, F5, 22) (dual of [78182, 78047, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(515, 57, F5, 7) (dual of [57, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- linear OA(5135, 78183, F5, 21) (dual of [78183, 78048, 22]-code), using Gilbert–Varšamov bound and bm = 5135 > Vbs−1(k−1) = 32 823356 622701 009499 948092 736310 148442 291881 234469 430777 896898 821777 427976 997432 407084 391305 [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
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.