Information on Result #1493902
Linear OOA(9130, 2848, F9, 3, 37) (dual of [(2848, 3), 8414, 38]-NRT-code), using OOA 2-folding based on linear OOA(9130, 5696, F9, 2, 37) (dual of [(5696, 2), 11262, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9130, 5697, F9, 2, 37) (dual of [(5697, 2), 11264, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9130, 5697, F9, 37) (dual of [5697, 5567, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(9130, 6566, F9, 37) (dual of [6566, 6436, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9125, 6561, F9, 35) (dual of [6561, 6436, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- discarding factors / shortening the dual code based on linear OA(9130, 6566, F9, 37) (dual of [6566, 6436, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9130, 5697, F9, 37) (dual of [5697, 5567, 38]-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.