Information on Result #708102
Linear OA(4130, 1070, F4, 31) (dual of [1070, 940, 32]-code), using construction XX applied to C1 = C([321,349]), C2 = C([319,342]), C3 = C1 + C2 = C([321,342]), and C∩ = C1 ∩ C2 = C([319,349]) based on
- linear OA(4106, 1023, F4, 29) (dual of [1023, 917, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {321,322,…,349}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(491, 1023, F4, 24) (dual of [1023, 932, 25]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {319,320,…,342}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {319,320,…,349}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {321,322,…,342}, 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(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
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.