Information on Result #708283
Linear OA(4154, 1090, F4, 35) (dual of [1090, 936, 36]-code), using construction XX applied to C1 = C([312,340]), C2 = C([319,346]), C3 = C1 + C2 = C([319,340]), and C∩ = C1 ∩ C2 = C([312,346]) based on
- linear OA(4110, 1023, F4, 29) (dual of [1023, 913, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,340}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4106, 1023, F4, 28) (dual of [1023, 917, 29]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {319,320,…,346}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,346}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(485, 1023, F4, 22) (dual of [1023, 938, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {319,320,…,340}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(413, 36, F4, 6) (dual of [36, 23, 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
- linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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.