Information on Result #1479264
Linear OOA(492, 458, F4, 3, 24) (dual of [(458, 3), 1282, 25]-NRT-code), using OOA 2-folding based on linear OOA(492, 916, F4, 2, 24) (dual of [(916, 2), 1740, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(492, 917, F4, 2, 24) (dual of [(917, 2), 1742, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(492, 917, F4, 24) (dual of [917, 825, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(492, 1035, F4, 24) (dual of [1035, 943, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(491, 1024, F4, 25) (dual of [1024, 933, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(481, 1024, F4, 22) (dual of [1024, 943, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(492, 1035, F4, 24) (dual of [1035, 943, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(492, 917, F4, 24) (dual of [917, 825, 25]-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.