Information on Result #1479336
Linear OOA(4140, 6827, F4, 3, 25) (dual of [(6827, 3), 20341, 26]-NRT-code), using OOA 2-folding based on linear OOA(4140, 13654, F4, 2, 25) (dual of [(13654, 2), 27168, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4140, 13655, F4, 2, 25) (dual of [(13655, 2), 27170, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4140, 13655, F4, 25) (dual of [13655, 13515, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4140, 16432, F4, 25) (dual of [16432, 16292, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(413, 48, F4, 6) (dual of [48, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4140, 16432, F4, 25) (dual of [16432, 16292, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4140, 13655, F4, 25) (dual of [13655, 13515, 26]-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.