Information on Result #1017257
Linear OOA(4936, 40394, F49, 3, 10) (dual of [(40394, 3), 121146, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(497, 1176, F49, 3, 5) (dual of [(1176, 3), 3521, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- linear OOA(4929, 39218, F49, 3, 10) (dual of [(39218, 3), 117625, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4929, 117654, F49, 10) (dual of [117654, 117625, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4929, 117656, F49, 10) (dual of [117656, 117627, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4922, 117649, F49, 8) (dual of [117649, 117627, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(4929, 117656, F49, 10) (dual of [117656, 117627, 11]-code), using
- OOA 3-folding [i] based on linear OA(4929, 117654, F49, 10) (dual of [117654, 117625, 11]-code), using
Mode: Constructive and 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.